𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics
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Publication:3578249
DOI10.1090/S0065-9266-10-00581-8zbMath1206.46001MaRDI QIDQ3578249
Publication date: 15 July 2010
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Noncommutative dynamical systems (46L55) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Classifications of (C^*)-algebras (46L35)
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-ALGEBRAS ASSOCIATED WITH TWO-SIDED SUBSHIFTS ⋮ Homology andK-theory of dynamical systems I. Torsion-free ample groupoids ⋮ Homology and \(K\)-theory of dynamical systems. II: Smale spaces with totally disconnected transversal ⋮ Continuous orbit equivalence for automorphism systems of equivalence relations ⋮ Nuclear dimension and classification of 𝐶*-algebras associated to Smale spaces ⋮ Unnamed Item ⋮ An étale equivalence relation on a tiling space arising from a two-sided subshift and associatedC*-algebras ⋮ The KMS condition for the homoclinic equivalence relation and Gibbs probabilities ⋮ \(C^\ast\)-algebras from groupoids on self-similar groups ⋮ Asymptotic Continuous Orbit Equivalence of Smale Spaces and Ruelle Algebras ⋮ A note on homology for Smale spaces ⋮ Smale spaces from self-similar graph actions ⋮ Wieler solenoids, Cuntz–Pimsner algebras and -theory ⋮ \(C^*\)-algebras associated with asymptotic equivalence relations defined by hyperbolic toral automorphisms ⋮ The stable algebra of a Wieler solenoid: inductive limits and -theory ⋮ Asymptotic continuous orbit equivalence of expansive systems ⋮ Haar systems, KMS states on von Neumann algebras and \(C^*\)-algebras on dynamically defined groupoids and noncommutative integration
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