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arXiv · 1503.08571

On flow equivalence of one-sided topological Markov shifts

Kengo Matsumoto
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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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Kengo Matsumoto. 2015-03-30. On flow equivalence of one-sided topological Markov shifts. https://arxiv.org/abs/1503.08571

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