C*-algebras and self-similar groups
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Publication:3631298
DOI10.1515/CRELLE.2009.035zbMath1175.46048MaRDI QIDQ3631298
Publication date: 5 June 2009
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Topological dynamics (37B99) (K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Groups acting on trees (20E08)
Related Items (44)
The tight groupoid of an inverse semigroup ⋮ On finitely summable Fredholm modules from Smale spaces ⋮ Self-similar groups, automatic sequences, and unitriangular representations ⋮ Functionally recursive rings of matrices -- two examples ⋮ Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs ⋮ Self-similark-Graph C*-Algebras ⋮ Remarks on the \(K\)-theory of \(C^*\)-algebras of products of odometers ⋮ K-theoretic duality for hyperbolic dynamical systems ⋮ Matui's AH conjecture for graph groupoids ⋮ Hyperbolic groupoids and duality ⋮ Unnamed Item ⋮ \(C^*\)-algebras associated with complex dynamical systems and backward orbit structure ⋮ Homology and \(K\)-theory of dynamical systems. II: Smale spaces with totally disconnected transversal ⋮ Left regular representations of Garside categories I. C*-algebras and groupoids ⋮ On the simplicity of Nekrashevych algebras of contracting self-similar groups ⋮ On exponentiation, p-automata and HNN extensions of free abelian groups ⋮ 𝐶*-algebras of right LCM monoids and their equilibrium states ⋮ Nuclear dimension and classification of 𝐶*-algebras associated to Smale spaces ⋮ Zappa-Szép products of semigroups and their \(C^\ast\)-algebras ⋮ Continuous orbit equivalences on self-similar groups ⋮ Simplicity of inverse semigroup and étale groupoid algebras ⋮ KMS states of self-similar \(k\)-graph \(C^*\)-algebras ⋮ The Zappa-Szép product of a Fell bundle and a groupoid ⋮ A Cuntz-Pimsner model for the \(C^\ast \)-algebra of a graph of groups ⋮ A more general method to classify up to equivariant \(KK\)-equivalence ⋮ Maximal abelian subalgebras of \(C^\ast\)-algebras associated with complex dynamical systems and self-similar maps ⋮ \(C^\ast\)-algebras from groupoids on self-similar groups ⋮ Self-similar graphs, a unified treatment of Katsura and Nekrashevych \(C^\ast\)-algebras ⋮ Growth of étale groupoids and simple algebras ⋮ Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions ⋮ Smale spaces from self-similar graph actions ⋮ A von Neumann algebraic approach to self-similar group actions ⋮ An algebraic analogue of Exel-Pardo \(C^\ast\)-algebras ⋮ Wieler solenoids, Cuntz–Pimsner algebras and -theory ⋮ On groupoids and \(C^*\)-algebras from self-similar actions ⋮ Smale space $C^*$-algebras have nonzero projections ⋮ On $C^*$-algebras associated to right LCM semigroups ⋮ Simplicity of algebras associated to non-Hausdorff groupoids ⋮ Subgroup Correspondences ⋮ ORBIT EQUIVALENCE ON SELF-SIMILAR GROUPS AND THEIR C*-ALGEBRAS ⋮ The ideal structures of self-similar -graph C*-algebras ⋮ The bicategory of groupoid correspondences ⋮ The Koopman representation for self-similar groupoid actions ⋮ Katsura–Exel–Pardo groupoids and the AH conjecture
Cites Work
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- Noncommutative algebras for hyperbolic diffeomorphisms
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- The structure of \(C^*\)-algebras associated with hyperbolic dynamical systems
- The Baum-Connes conjecture for amenable foliations
- Branch rings, thinned rings, tree enveloping rings.
- 𝐶*-algebras associated with branched coverings
- C*-Algebras from Smale Spaces
- C^*-Algebras associated with complex dynamical systems
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