Hyperbolic groupoids and duality

DOI10.1090/memo/1122zbMath1353.37068arXiv1101.5603OpenAlexW2963679675MaRDI QIDQ2944985

Volodymyr V. Nekrashevych

Publication date: 9 September 2015

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5603

zbMATH Keywords

hyperbolic groupoidsSmale spacesGromov hyperbolic graphsSmale quasi-flows

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Hyperbolic groups and nonpositively curved groups (20F67) Pseudogroups and differentiable groupoids (58H05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (6)

Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022 ⋮ Simple groups of dynamical origin ⋮ Spanier–Whitehead K-duality for C∗-algebras ⋮ Hyperbolic groupoids: metric and measure ⋮ Orbit equivalence and classification of weak solenoids ⋮ Locally connected Smale spaces, pinched spectrum, and infra-nilmanifolds

Cites Work

• Hyperbolic groupoids: metric and measure
• The Julia set of a post-critically finite endomorphism of \(\mathbb{PC}^2\)
• Thurston equivalence of topological polynomials
• Schreier graphs of the Basilica group.
• The combinatorial structure of cocompact discrete hyperbolic groups
• Noncommutative algebras for hyperbolic diffeomorphisms
• A class of C*-algebras and topological Markov chains
• Some remarks on foliations with minimal leaves
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Symbolic dynamics and hyperbolic groups
• Fractal Penrose tiles. II: Tiles with fractal boundary as duals of Penrose triangles
• \(K\)-theoretic duality for shifts of finite type
• K-theoretic duality for hyperbolic dynamical systems
• SELF-SIMILAR INVERSE SEMIGROUPS AND SMALE SPACES
• C*-algebras and self-similar groups
• Noncommutative Poincaré duality for boundary actions of hyperbolic groups
• Introduction to Dynamical Systems
• C*-Algebras from Smale Spaces
• Combinatorial models of expanding dynamical systems
• Markov Partitions for Axiom A Diffeomorphisms
• Expanding attractors
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