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arXiv · 2104.02203

One-sided topological conjugacy of normal subshifts and gauge actions on the associated $C^*$-algebras

Kengo Matsumoto
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Abstract

The class of normal subshifts includes irreducible infinite topological Markov shifts, irreducible infinite sofic shifts, synchronized systems, Dyck shifts, $\beta$-shifts, substitution minimal shifts, and so on. We will characterize one-sided topological conjugacy classes of normal subshifts in terms of the associated $C^*$-algebras and its gauge actions with potentials.

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Kengo Matsumoto. 2021-04-06. One-sided topological conjugacy of normal subshifts and gauge actions on the associated $C^*$-algebras. https://arxiv.org/abs/2104.02203

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