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Local observables and particle statistics I

https://doi.org/10.1007/bf01877742
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-99902-4openalex-snapshot
Proceedings of the Conference on Categorical Algebra
inferredcites →https://doi.org/10.1007/bf01645267openalex-snapshot
Fields, observables and gauge transformations I
inferredcites →https://doi.org/10.1007/bf01645674openalex-snapshot
Fields, observables and gauge transformations II
inferredcites →https://doi.org/10.1007/bf01649433openalex-snapshot
On parastatistics
inferredcites →https://doi.org/10.1007/bf01653645openalex-snapshot
A remark on a theorem ofB. Misra
inferredcites →https://doi.org/10.1090/s0002-9939-1961-0139961-2openalex-snapshot
The Trace in Finite Operator Algebras
inferredcites →https://doi.org/10.1103/physrev.136.b248openalex-snapshot
Symmetrization Postulate and Its Experimental Foundation
inferredcites →https://doi.org/10.1103/physrev.88.101openalex-snapshot
The Intrinsic Parity of Elementary Particles
inferredcites →https://doi.org/10.1103/physrevd.1.2226openalex-snapshot
Classification of Paraparticles
inferredcites →https://doi.org/10.1103/physrevd.2.1759openalex-snapshot
Paraparticles of Infinite Order
inferredcites →https://doi.org/10.2140/pjm.1960.10.547openalex-snapshot
Unitary operators inC∗-algebras
inferredcites →https://doi.org/10.2307/1970364openalex-snapshot
Representations of Uniformly Hyperfinite Algebras and Their Associated von Neumann Rings

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Geometric Flavours of Quantum Field Theory on a Cauchy Hypersurface. Part I: Gaussian Analysis and Other Mathematical Aspects
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Quantum field theory and composite fermions in the fractional quantum Hall effect
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Quantum field theory and composite fermions in the fractional quantum Hall effect
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Quantum Delocalization of the Electric Charge
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Free Composition of Paragroups
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Small Violations of Statistics
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Topological Quantum Field Theories and Operator Algebras
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A survey of local cohomology
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Foundations of equilibrium quantum statistical mechanics
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Clustering, charge-screening and the mass-spectrum in local quantum field theory
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Locality and the structure of particle states in gauge field theories
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Anyons
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Generalized Statistics in One Dimension
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Quantum symmetry associated with braid group statistics
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Sum rules for spins in (2 + 1)-dimensional quantum field theory
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Currents
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On the Structure of Finite Depth Subfactors
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Statistics of Fields, the Yang-Baxter Equation, and the Theory of Knots and Links
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Category Theory and Quantum Field Theory
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Observables, Superselection Sectors and Gauge Groups
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Braid Statistics in Three-Dimensional Local Quantum Theory
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An Introduction to Some Topics in Constructive Quantum Field Theory
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Charge, Anomalies and Index Theory
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Two-Dimensional Conformal Field Theory and Three-Dimensional Topology
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Quantum Physics and Gravitation
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Structure of Superselection Sectors in Low-Dimensional Quantum Field Theory
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New Kinematics (Statistics and Symmetry) in Low-Dimensional QFT with Applications to Conformal QFT2
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Particle Structure of Gauge Theories
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Infrared Problem, Higgs Phenomenon and Long Range Interactions
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Order-Disorder Quantum Symmetry in G-Spin Models
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On the Existence of Pointlike Localized Fields in Conformally Invariant Quantum Physics
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Disorder Operators, Quantum Doubles, and Haag Duality in 1 + 1 Dimensions
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Gauss’s Law, the Manifestations of Gauge Fields, and Their Impact on Local Observables
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Operator Algebras and Conformal Field Theory
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Tensor Categories and Endomorphisms of von Neumann Algebras
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Introduction
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Frobenius Algebras, Q-Systems and Modules
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Applications in QFT
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An Introduction to Algebraic Quantum Field Theory
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Algebraic Conformal Quantum Field Theory in Perspective
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Kitaev’s Quantum Double Model from a Local Quantum Physics Point of View
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Algebraic Approach to Quantum Theory
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Local Quantum Physics
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Introduction
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Upper Bounds for $$E_R$$ in QFT
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Generalizations of Quantum Statistics
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New Developments in Quantum Field Theory
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Quantum Field Theory in Low Dimensional Space Time
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Braid Group Statistics
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On the General Theory of Quantized Fields
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Charges in Quantum Field Theory
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Localization and Entanglement in Relativistic Quantum Physics
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Dynamical Problems of the Relativistic Quark Model
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Gauge Theories and Superselection Rules
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Structural Questions in Quantum Field Theory
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Phase Transitions, Goldstone Bosons and Topological Superselection Rules
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Introduction to W*-Categories
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Net Cohomology and Its Applications to Field Theory
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Asymptotic Abelianness and Braided Tensor C*-Categories
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Spin, or actually: Spin and Quantum Statistics
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Conformal Field Theory and Operator Algebras
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Quantum Physics and Gravitation
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Product of States
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Statistics and Monodromy in Two- and Three-Dimensional Quantum · Field Theory
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Groupoids and Lie Bigebras in Gauge and String Theories
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Braided groups and algebraic quantum field theories
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Bose condensation with negative chemical potential
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Topological spin-statistics relation in quantum field theory
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Generalization of quantum statistics in statistical mechanics
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Geometrical meaning of braid statistics in (1+1)- and (2+1)-dimensional quantum field theory
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A new approach to spin & statistics
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On the intrinsic definition of local observables
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Generalized field quantization and statistics of elementary particles
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Parastatistics and parafields
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Axioms of algebra of observables and the field concept
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Fock representation for quaternion fields
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The charged sectors of Quantum Electrodynamics in a framework of local observables
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On the existence of antiparticles
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Locality and the structure of particle states
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On the local implementations of gauge symmetries in local quantum theory
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Local aspects of superselection rules. II
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Superselection sectors with braid group statistics and exchange algebras
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A new duality theory for compact groups
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Charges in spacelike cones
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Causal independence and the energy-level density of states in local quantum field theory
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Remarks on quantum symmetry
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Local cohomology and superselection structure
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Soliton mass and surface tension in the (λ|Ø|4)2 quantum field model
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New super-selection sectors (“soliton-states”) in two dimensional Bose quantum field models
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Prime field decompositions and infinitely divisible states on Borchers' tensor algebra
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Fields, statistics and non-Abelian gauge groups
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Some applications of dilatation invariance to structural questions in the theory of local observables
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Local observables and particle statistics II
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Remarks on the modular operator and local observables
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Local algebras of observables and pointlike localized fields
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The physical state space of quantum electrodynamics
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Local aspects of superselection rules
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Localization in algebraic field theory
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The CPT-theorem in two-dimensional theories of local observables
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Field operators for anyons and plektons
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Extensions of automorphisms and gauge symmetries
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Subalgebras of infinite C*-algebras with finite Watatani indices I. Cuntz algebras
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Characterizing invariants for local extensions of current algebras
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Construction of field algebras with quantum symmetry from local observables
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The conformal spin and statistics theorem
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An algebraic spin and statistics theorem
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Localized endomorphisms of the chiral Ising model
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Conformal field algebras with quantum symmetry from the theory of superselection sectors
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Scattering states of plektons (particles with braid group statistics) in 2+1 dimensional quantum field theory
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Index of subfactors and statistics of quantum fields
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Index of subfactors and statistics of quantum fields. I
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Classification of amenable subfactors of type II
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Some contact points of mathematics and physics
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Index of subfactors and statistics of quantum fields
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Superselection rules; old and new
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The statistics of particles in local quantum theories
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Quantum theory of non-linear invariant wave (field) equations or: Super selection sectors in constructive quantum field theory
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Normal product states and nuclearity: New aspects of algebraic quantum field theory
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Problems in quantum field theory and in operator algebras
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Entropic order parameters in weakly coupled gauge theories
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Entropic order parameters for the phases of QFT
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Entropic order parameters and topological holography
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Jones index from Rényi entropies in the Ising conformal field theory
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Generalized symmetries and Noether's theorem in QFT
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Generalized symmetries and Noether’s theorem in QFT
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Additivity, Haag duality, and non-invertible symmetries
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Unusual thermodynamics on the fuzzy 2-sphere
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Non-Pauli effects from noncommutative spacetimes
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Proof of the universal density of charged states in QFT
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Algebraic Representation Theory of Partial Algebras
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The Bisognano-Wichmann Theorem for Massive Theories
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Relative Haag Duality for the Free Field in Fock Representation
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Topological Features of Massive Bosons on Two-Dimensional Einstein Space–Time
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Towards an Operator-Algebraic Construction of Integrable Global Gauge Theories
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On Induction for Twisted Representations of Conformal Nets
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Galois Correspondence and Fourier Analysis on Local Discrete Subfactors
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Type of Local von Neumann Algebras in Abelian Quantum Double Models
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Frobenius Algebras Associated with the $$\alpha $$-Induction for Equivariantly Braided Tensor Categories
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The Double Semion State in Infinite Volume
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Unitarity and Strong Graded Locality of Holomorphic Vertex Operator Superalgebras with Central Charge at Most 24
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Fusion and Positivity in Chiral Conformal Field Theory
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A categorical Connes’ $$\chi (M)$$
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Topological Sectors and a Dichotomy in Conformal Field Theory
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Classification of Subsystems for Graded-Local Nets with Trivial Superselection Structure
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Solitons in Affine and Permutation Orbifolds
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Conformal Orbifold Theories and Braided Crossed G-Categories
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Noncommutative Spectral Invariants and Black Hole Entropy
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KMS States and the Chemical Potential for Disordered Systems
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A Canonical Ensemble Approach to the Fermion/Boson Random Point Processes and Its Applications
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Generalized Particle Statistics in Two-Dimensions: Examples from the Theory of Free Massive Dirac Field
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Superselection Sectors and General Covariance. I
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How to Remove the Boundary in CFT – An Operator Algebraic Procedure
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The Spin-Statistics Theorem for Anyons and Plektons in d = 2+1
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Quantum Charges and Spacetime Topology: The Emergence of New Superselection Sectors
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The CPT and Bisognano-Wichmann Theorems for Anyons and Plektons in d = 2 + 1
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On the Extension of Stringlike Localised Sectors in 2+1 Dimensions
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A Rigidity Result for Extensions of Braided Tensor C*–Categories Derived from Compact Matrix Quantum Groups
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A New Light on Nets of C*-Algebras and Their Representations
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Braid Group Statistics Implies Scattering in Three-Dimensional Local Quantum Physics
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Representations of Conformal Nets, Universal C*-Algebras and K-Theory
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Representations of Nets of C*-Algebras over S 1
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How to Add a Boundary Condition
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New Light on Infrared Problems: Sectors, Statistics, Symmetries and Spectrum
inferred← citeshttps://doi.org/10.1007/s00220-014-2069-yopenalex-snapshot
A Criterion for Asymptotic Completeness in Local Relativistic QFT
inferred← citeshttps://doi.org/10.1007/s00220-015-2475-9openalex-snapshot
Where Infinite Spin Particles are Localizable
inferred← citeshttps://doi.org/10.1007/s00220-015-2560-0openalex-snapshot
Phase Boundaries in Algebraic Conformal QFT
inferred← citeshttps://doi.org/10.1007/s00220-017-2937-3openalex-snapshot
Braided Categories of Endomorphisms as Invariants for Local Quantum Field Theories
inferred← citeshttps://doi.org/10.1007/s00220-017-2949-zopenalex-snapshot
The Measurement Process in Local Quantum Physics and the EPR Paradox
inferred← citeshttps://doi.org/10.1007/s00220-017-2968-9openalex-snapshot
String-Localized Free Vector and Tensor Potentials for Massive Particles with Any Spin: I. Bosons
inferred← citeshttps://doi.org/10.1007/s00220-017-2989-4openalex-snapshot
The Complete Set of Infinite Volume Ground States for Kitaev’s Abelian Quantum Double Models
inferred← citeshttps://doi.org/10.1007/s00220-018-3116-xopenalex-snapshot
On Landauer’s Principle and Bound for Infinite Systems
inferred← citeshttps://doi.org/10.1007/s00220-019-03326-6openalex-snapshot
Unitarity of the Modular Tensor Categories Associated to Unitary Vertex Operator Algebras, I
inferred← citeshttps://doi.org/10.1007/s00220-019-03332-8openalex-snapshot
Entropy Distribution of Localised States
inferred← citeshttps://doi.org/10.1007/s00220-019-03630-1openalex-snapshot
On the Stability of Charges in Infinite Quantum Spin Systems
inferred← citeshttps://doi.org/10.1007/s00220-020-03860-8openalex-snapshot
Categorical Extensions of Conformal Nets
inferred← citeshttps://doi.org/10.1007/s00220-023-04722-9openalex-snapshot
Haploid Algebras in $$C^*$$-Tensor Categories and the Schellekens List
inferred← citeshttps://doi.org/10.1007/s00220-023-04835-1openalex-snapshot
Wightman Fields for Two-Dimensional Conformal Field Theories with Pointed Representation Category
inferred← citeshttps://doi.org/10.1007/s00220-023-04855-xopenalex-snapshot
Channel Divergences and Complexity in Algebraic QFT
inferred← citeshttps://doi.org/10.1007/s00220-023-04919-yopenalex-snapshot
Where Charged Sectors are Localizable: A Viewpoint from Covariant Cohomology
inferred← citeshttps://doi.org/10.1007/s00220-024-05094-4openalex-snapshot
Boundary States of a Bulk Gapped Ground State in 2-D Quantum Spin Systems
inferred← citeshttps://doi.org/10.1007/s00220-025-05315-4openalex-snapshot
Superselection Sectors for Posets of von Neumann Algebras
inferred← citeshttps://doi.org/10.1007/s00220-025-05363-wopenalex-snapshot
Classification of the Anyon Sectors of Kitaev’s Quantum Double Model
inferred← citeshttps://doi.org/10.1007/s00220-025-05475-3openalex-snapshot
Mixed State Topological Order: Operator Algebraic Approach
inferred← citeshttps://doi.org/10.1007/s00220-025-05525-wopenalex-snapshot
$$C^*$$-Categorical Prefactorization Algebras for Superselection Sectors and Topological Order
inferred← citeshttps://doi.org/10.1007/s002200050264openalex-snapshot
Quantum Double Actions on Operator Algebras and Orbifold Quantum Field Theories
inferred← citeshttps://doi.org/10.1007/s002200050455openalex-snapshot
Modular Invariants, Graphs and α-Induction¶for Nets of Subfactors I
inferred← citeshttps://doi.org/10.1007/s002200050673openalex-snapshot
Modular Invariants, Graphs and α-Induction¶for Nets of Subfactors. III
inferred← citeshttps://doi.org/10.1007/s002200100492openalex-snapshot
Notes for a Quantum Index Theorem
inferred← citeshttps://doi.org/10.1007/s00233-010-9263-9openalex-snapshot
A generalization of de Bruijn graphs and classification of endomorphisms of Cuntz algebras by graph invariants
inferred← citeshttps://doi.org/10.1007/s10114-003-0270-6openalex-snapshot
Conformal Quantum Field Theory and Subfactors
inferred← citeshttps://doi.org/10.1007/s10670-008-9124-zopenalex-snapshot
Superselection Rules for Philosophers
inferred← citeshttps://doi.org/10.1007/s10670-011-9324-9openalex-snapshot
CPT Invariance, the Spin-Statistics Connection, and the Ontology of Relativistic Quantum Field Theories
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