On certain inverse semigroups associated with one-sided topological Markov shifts

DOI10.1007/s00233-022-10309-yOpenAlexW4293005125MaRDI QIDQ2082747

Kengo Matsumoto

Publication date: 4 October 2022

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-022-10309-y

zbMATH Keywords

semigroupétale groupoidinverse semigroupCuntz-Krieger algebratopological Markov shift

Mathematics Subject Classification ID

Semigroups (20Mxx)

Cites Work

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• \(K\)-groups of the full group actions on one-sided topological Markov shifts
• Continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
• Topological full groups of one-sided shifts of finite type
• Orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
• A groupoid approach to C*-algebras
• A class of C*-algebras and topological Markov chains
• Groupoids, inverse semigroups, and their operator algebras
• Full groups of Cuntz-Krieger algebras and Higman-Thompson groups
• Coded equivalence of one-sided topological Markov shifts
• Full groups of one-sided topological Markov shifts
• The C*-algebras of some inverse semigroups
• C*-Algebras of inverse semigroups
• Cartan subalgebras in C*-algebras
• An Introduction to Symbolic Dynamics and Coding

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