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On flow equivalence of one-sided topological Markov shifts


Author: Kengo Matsumoto
Journal: Proc. Amer. Math. Soc. 144 (2016), 2923-2937
MSC (2010): Primary 37B10; Secondary 37C30
DOI: https://doi.org/10.1090/proc/13074
Published electronically: March 17, 2016
MathSciNet review: 3487225
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Abstract: We introduce notions of suspension and flow equivalence on one-sided topological Markov shifts, which we call one-sided suspension and one-sided flow equivalence, respectively. We prove that one-sided flow equivalence is equivalent to continuous orbit equivalence on one-sided topological Markov shifts. We also show that the zeta function of the flow on a one-sided suspension is a dynamical zeta function with some potential function and that the set of certain dynamical zeta functions is invariant under one-sided flow equivalence of topological Markov shifts.


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Additional Information

Kengo Matsumoto
Affiliation: Department of Mathematics, Joetsu University of Education, Joetsu, 943-8512, Japan

DOI: https://doi.org/10.1090/proc/13074
Received by editor(s): March 30, 2015
Received by editor(s) in revised form: July 12, 2015
Published electronically: March 17, 2016
Communicated by: Yingfei Yi
Article copyright: © Copyright 2016 American Mathematical Society

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