Asymptotic Continuous Orbit Equivalence of Smale Spaces and Ruelle Algebras

DOI10.4153/CJM-2018-012-xzbMath1428.37007arXiv1703.07011OpenAlexW2962892053MaRDI QIDQ5195303

Kengo Matsumoto

Publication date: 18 September 2019

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07011

zbMATH Keywords

zeta functiongroupoidhyperbolic dynamicsCuntz-Krieger algebrashifts of finite typeSmale spacecontinuous orbit equivalenceRuelle algebraasymptotic continuous orbit equivalence

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems and the theory of (C^*)-algebras (37A55) Multidimensional shifts of finite type (37B51)

Related Items

-ALGEBRAS ASSOCIATED WITH TWO-SIDED SUBSHIFTS, Continuous orbit equivalence for automorphism systems of equivalence relations, Continuous orbit equivalences on self-similar groups, An étale equivalence relation on a tiling space arising from a two-sided subshift and associatedC*-algebras, \(C^*\)-algebras associated with asymptotic equivalence relations defined by hyperbolic toral automorphisms, Asymptotic continuous orbit equivalence of expansive systems, Flow equivalence of topological Markov shifts and Ruelle algebras

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