ORBIT EQUIVALENCE ON SELF-SIMILAR GROUPS AND THEIR C*-ALGEBRAS

DOI10.4134/JKMS.j190090zbMath1441.37016OpenAlexW3028598663MaRDI QIDQ5108944

Inhyeop Yi

Publication date: 6 May 2020

Full work available at URL: https://dspace.ewha.ac.kr/handle/2015.oak/253736

zbMATH Keywords

orbit equivalenceself-similar grouplimit dynamical system

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Symbolic dynamics (37B10) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items

Continuous orbit equivalences on self-similar groups

Cites Work

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• Continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
• Orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
• Bounded topological orbit equivalence and \(C^*\)-algebras
• A groupoid approach to C*-algebras
• Groupoids, inverse semigroups, and their operator algebras
• The structure of \(C^*\)-algebras associated with hyperbolic dynamical systems
• Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids
• Graph algebras and orbit equivalence
• Homology and topological full groups of étale groupoids on totally disconnected spaces
• C*-algebras and self-similar groups
• Actions of $\mathbb{Z}^k$ associated to higher rank graphs
• Orbit equivalence of graphs and isomorphism of graph groupoids
• Continuous orbit equivalence rigidity
• Groupoids Associated with Endomorphisms