On flow equivalence of one-sided topological Markov shifts

Matsumoto, Kengo

doi:10.1090/proc/13074

On flow equivalence of one-sided topological Markov shifts
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by Kengo Matsumoto

Proc. Amer. Math. Soc. 144 (2016), 2923-2937

DOI: https://doi.org/10.1090/proc/13074

Published electronically: March 17, 2016

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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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