Étale groupoids arising from products of shifts of finite type
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Publication:323683
DOI10.1016/j.aim.2016.08.023zbMath1352.19003arXiv1512.01724OpenAlexW2963154772MaRDI QIDQ323683
Publication date: 10 October 2016
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.01724
(K)-theory and homology; cyclic homology and cohomology (19D55) Topological groupoids (including differentiable and Lie groupoids) (22A22) Symbolic dynamics (37B10) Topological (K)-theory (55N15) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)
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Cites Work
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- Cohomological finiteness conditions and centralisers in generalisations of Thompson's group \(V\)
- Cantor systems, piecewise translations and simple amenable groups
- The Brin-Thompson groups \(sV\) are of the type \(\text F_\infty\).
- Presentations for the higher-dimensional Thompson groups \(nV\).
- Continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
- Topological full groups of one-sided shifts of finite type
- Spaces of tilings, finite telescopic approximations and gap-labeling
- A family of non-isomorphism results.
- On the baker's map and the simplicity of the higher dimensional Thompson groups \(nV\).
- Déterminant associé à une trace sur une algèbre de Banach
- A groupoid approach to C*-algebras
- A class of C*-algebras and topological Markov chains
- A proof of the gap labeling conjecture
- Higher dimensional Thompson groups.
- Presentations of higher dimensional Thompson groups.
- Full groups of Cantor minimal systems
- Isomorphisms of Brin-Higman-Thompson groups.
- Homology and topological full groups of étale groupoids on totally disconnected spaces
- SOME REMARKS ON TOPOLOGICAL FULL GROUPS OF CANTOR MINIMAL SYSTEMS
- Cartan subalgebras in C*-algebras
- On the topological stable rank of certain transformation group C*-algebras
- Localization Theories for Simplicial Presheaves
- The cohomology and $K$-theory of commuting homeomorphisms of the Cantor set
- Affable equivalence relations and orbit structure of Cantor dynamical systems
- An Introduction to Symbolic Dynamics and Coding
- A homology theory for étale groupoids
- Cohomological finiteness properties of the Brin–Thompson–Higman groups 2V and 3V
- Finiteness properties of groups
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