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On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz–Krieger algebras

Part of: Ergodic theory Selfadjoint operator algebras Topological dynamics

Published online by Cambridge University Press:  17 May 2021

KENGO MATSUMOTO
KENGO MATSUMOTO*
Affiliation:
Department of Mathematics, Joetsu University of Education, Joetsu943-8512, Japan
*
e-mail: [email protected]
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Abstract

We characterize topological conjugacy classes of one-sided topological Markov shifts in terms of the associated Cuntz–Krieger algebras and their gauge actions with potentials.

Keywords

Cuntz–Krieger algebragauge actiontopological conjugacytopological Markov shift

MSC classification

Primary: 37A55: Relations with the theory of $C^*$-algebras 46L55: Noncommutative dynamical systems
Secondary: 46L35: Classifications of $C^*$-algebras 37B10: Symbolic dynamics
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 42 , Issue 8 , August 2022 , pp. 2575 - 2582
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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