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Full groups of Cantor minimal systems

https://doi.org/10.1007/bf02810689
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Lectures on Boolean Algebras
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On ergodic flows and the isomorphism of factors
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On a dimension for a class of homeomorphism groups
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Non-commutative differential geometry
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On the construction of minimal skew products
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Representations of AF-Algebras and of the Group U (∞)
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A Groupoid Approach to C*-Algebras
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On hyperfinite factors of type III0 and Krieger's factors
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Measure space automorphisms, the normalizers of their full groups, and approximate finiteness
inferredcites →https://doi.org/10.1090/cbms/046openalex-snapshot
Dimensions and 𝐶*-Algebras
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ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
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WEAK ORBIT EQUIVALENCE OF CANTOR MINIMAL SYSTEMS
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Topological orbit equivalence and C*-crossed products.
inferredcites →https://doi.org/10.2140/pjm.1989.136.329openalex-snapshot
The C ∗ -algebras associated with minimal homeomorphisms of the Cantor set
inferredcites →https://doi.org/10.2307/2372852openalex-snapshot
On Groups of Measure Preserving Transformations. I
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On Groups of Measure Preserving Transformations. II
inferredcites →https://doi.org/10.2748/tmj/1178240493openalex-snapshot
The flow of weights on factors of type ${\rm III}$
inferredcites →https://doi.org/10.2969/jmsj/05020317openalex-snapshot
Bounded topological orbit equivalence and C* -algebras
inferredcites →https://doi.org/10.4310/jdg/1214432561openalex-snapshot
On two notions of structural stability

What points at this work

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

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The Group of Reversible Turing Machines: Subgroups, Generators and Computability
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The dynamics of partial inverse semigroup actions
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Schreier Graphs of Grigorchuk's Group and a Subshift Associated to a Nonprimitive Substitution
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A Tits alternative for topological full groups
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The group of reversible turing machines: subgroups, generators, and computability
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Aperiodic substitution systems and their Bratteli diagrams
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Topological properties of full groups
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Some remarks on topological full groups of Cantor minimal systems II
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ORIENTATION OF PIECEWISE POWERS OF A MINIMAL HOMEOMORPHISM
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Uniform simplicity of groups with proximal action
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Approximation in ergodic theory, Borel, and Cantor dynamics
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Bratteli diagrams: Structure, measures, dynamics
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Invariant measures for Cantor dynamical systems
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Invertible and noninvertible symbolic dynamics and their C*-algebras
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Symbolic Extensions of Amenable Group Actions and the Comparison Property
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Dynamical simplices and minimal homeomorphisms
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On invariant random subgroups of block-diagonal limits of symmetric groups
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Classification of Cuntz–Krieger algebras by orbit equivalence of topological Markov shifts
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On the topological full group of a minimal Cantor 𝐙²-system
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Measures on Cantor sets: The good, the ugly, the bad
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A commutator lemma for confined subgroups and applications to groups acting on rooted trees
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Almost Finiteness for General Étale Groupoids and Its Applications to Stable Rank of Crossed Products
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Orbit equivalence rigidity of equicontinuous systems
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Homology and topological full groups of étale groupoids on totally disconnected spaces
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TOPOLOGICAL FULL GROUPS OF MINIMAL SUBSHIFTS AND JUST-INFINITE GROUPS
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STRONG ORBIT EQUIVALENCE OF LOCALLY COMPACT CANTOR MINIMAL SYSTEMS
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SOME REMARKS ON TOPOLOGICAL FULL GROUPS OF CANTOR MINIMAL SYSTEMS
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Topological full groups of ample groupoids with applications to graph algebras
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Sectional algebras of semigroupoid bundles
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Realizing dimension groups, good measures, and Toeplitz factors
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Not finitely but countably Hopf-equivalent clopen sets in a Cantor minimal system
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Topological Conjugacy Relation on the Space of Toeplitz Subshifts
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Image of a shift map along the orbits of a flow
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Orbit equivalence and classification of weak solenoids
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Topological full groups of one-sided shifts of finite type
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Real coboundaries for minimal Cantor systems
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Orbit equivalence of topological Markov shifts and Cuntz–Krieger algebras
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Subgroup dynamics and C*-simplicity of groups of homeomorphisms
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Finite order automorphisms and dimension groups of Cantor minimal systems
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Approximate Conjugacy and Full Groups of Cantor Minimal Systems
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Integrable and Chaotic Systems Associated with Fractal Groups
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On the $C^*$-algebra generated by the Koopman representation of a topological full group
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Comparability of clopen sets in a zero-dimensional dynamical system
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Reversing and extended symmetries of shift spaces
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Realization of big centralizers of minimal aperiodic actions on the Cantor set
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Cohomology groups, continuous full groups and continuous orbit equivalence of topological Markov shifts
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Topological full groups of minimal subshifts with subgroups of intermediate growth
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The mapping class group of a shift of finite type
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Cantor systems, piecewise translations and simple amenable groups
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Palindromic subshifts and simple periodic groups of intermediate growth
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Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems
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On approximation of homeomorphisms of a Cantor set
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Strong orbit equivalence in Cantor dynamics and simple locally finite groups
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Hopf-equivalences for zero-dimensional dynamical systems
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Ext and OrderExt Classes of Certain Automorphisms of C*-Algebras Arising from Cantor Minimal Systems
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Matui's AH conjecture for graph groupoids
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Об алгебраических свойствах топологических полных групп
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Aperiodic substitutional systems and their Bratteli diagrams
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Orbit equivalence of one-sided subshifts and the associated C^*-algebras
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Cantor systems, piecewise translations and simple amenable groups
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Full groups of minimal homeomorphisms
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Etale groupoids arising from products of shifts of finite type
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Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms
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Subshifts with sparse traces
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Rigidity properties of full groups of pseudogroups over the Cantor set
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On the centralizers of minimal aperiodic actions on the Cantor set
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Invariant measures for Cantor dynamical systems
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Commensurated subgroups and micro-supported actions
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Comparison and Simplicity of Commutator Subgroups of Full Groups
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The homology of the groupoid of the self-similar dihedral group
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Topological full groups of line-like minimal group actions are amenable
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Higman-Thompson groups from self-similar groupoid actions
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Topologies on the group of homeomorphisms of a Cantor set
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Approximation in ergodic theory, Borel, and Cantor dynamics
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On approximation of homeomorphisms of a Cantor set
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From invariant measures to orbit equivalence, via locally finite groups
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On a measurable analogue of small topological full groups II
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Polish groups and Baire category methods
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On the study of homomorphisms between Z^d-topological dynamical systems
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Liouville property, entropy, and amenability of countable groups
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Shift spaces on groups : computability and dynamics
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Infinite weighted graphs with bounded resistance metric
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The AH conjecture for Cantor minimal dihedral systems
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Strongly continuous orbit equivalence of one-sided topological Markov shifts
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Amenability, Countable Equivalence Relations, and Their Full Groups
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