Smale spaces from self-similar graph actions

DOI10.1216/RMJ-2018-48-4-1359zbMath1472.37011WikidataQ129164654 ScholiaQ129164654MaRDI QIDQ1799899

Inhyeop Yi

Publication date: 19 October 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1538272837

zbMATH Keywords

Smale spacepositively expansive maplimit dynamical systemself-similar graph actionlimit solenoid

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Symbolic dynamics (37B10) Dynamical systems and the theory of (C^*)-algebras (37A55)

Cites Work

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• The tight groupoid of an inverse semigroup
• Self-similar graphs, a unified treatment of Katsura and Nekrashevych \(C^\ast\)-algebras
• Positively expansive dynamical systems
• A groupoid approach to C*-algebras
• Expanding maps on compact metric spaces
• The structure of \(C^*\)-algebras associated with hyperbolic dynamical systems
• Limit dynamical systems and \(C^*\)-algebras from self-similar graph actions
• 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics
• C*-algebras and self-similar groups
• Actions of $\mathbb{Z}^k$ associated to higher rank graphs
• C*-Algebras from Smale Spaces
• Wieler solenoids, Cuntz–Pimsner algebras and -theory

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