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arXiv · 1801.09198

Flow equivalence of topological Markov shifts and Ruelle algebras

Kengo Matsumoto
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Abstract

We study discrete flow equivalence of two-sided topological Markov shifts by using extended Ruelle algebras. We characterize flow equivalence of two-sided topological Markov shifts in terms of conjugacy of certain actions weighted by ceiling functions of two-dimensional torus on the stabilized extended Ruelle algebras for the Markov shifts.

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Kengo Matsumoto. 2018-01-28. Flow equivalence of topological Markov shifts and Ruelle algebras. https://arxiv.org/abs/1801.09198

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