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

2021/04/06 by Matsumoto, Kengo
#Dynamical Systems (math.DS) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2104.02203

Abstract

The class of normal subshifts includes irreducible infinite topological Markov shifts, irreducible infinite sofic shifts, synchronized systems, Dyck shifts, β-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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