Functoriality of the C *-Algebras Associated with Hyperbolic Dynamical Systems

DOI10.1112/S002461070000140XzbMath1021.46042OpenAlexW2143103410MaRDI QIDQ3150969

Ian F. Putnam

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1112/s002461070000140x

zbMATH Keywords

Smale spacehyperbolic dynamical systems\(s\)-resolvingfinite-to-one factor maps

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Symbolic dynamics (37B10)

Related Items (12)

On finitely summable Fredholm modules from Smale spaces ⋮ FACTOR MAPS OF LAMBDA-GRAPH SYSTEMS AND INCLUSIONS OF C*-ALGEBRAS ⋮ Resolving extensions of finitely presented systems ⋮ K-theoretic duality for hyperbolic dynamical systems ⋮ Long exact sequences of homology groups of étale groupoids ⋮ Homology and \(K\)-theory of dynamical systems. II: Smale spaces with totally disconnected transversal ⋮ 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics ⋮ Lifting factor maps to resolving maps ⋮ Asymptotic Continuous Orbit Equivalence of Smale Spaces and Ruelle Algebras ⋮ A note on homology for Smale spaces ⋮ Smale space $C^*$-algebras have nonzero projections ⋮ Trace asymptotics for $C^{\ast }$-algebras from Smale spaces

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