One-sided topological conjugacy of topological Markov shifts, continuous full groups and Cuntz–Krieger algebras

DOI10.1080/14689367.2023.2218601zbMath1530.37014arXiv2012.14630MaRDI QIDQ6084043

Kengo Matsumoto

Publication date: 31 October 2023

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.14630

zbMATH Keywords

topological conjugacytopological Markov shiftsCuntz-Krieger algebrascontinuous orbit equivalence

Mathematics Subject Classification ID

Other groups related to topology or analysis (20F38) Classifications of (C^*)-algebras (46L35) Symbolic dynamics (37B10) Dynamical systems and the theory of (C^*)-algebras (37A55)

Cites Work

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• On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz–Krieger algebras
• CUNTZ–KRIEGER ALGEBRAS AND ONE-SIDED CONJUGACY OF SHIFTS OF FINITE TYPE AND THEIR GROUPOIDS
• Topological full groups of ample groupoids with applications to graph algebras
• On a family of C*-subalgebras of Cuntz–Krieger algebras

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