On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz--Krieger algebras

Abstract

We will characterize topological conjugacy classes of one-sided topological Markov shifts in terms of the associated Cuntz--Krieger algebras and its gauge actions with potentials.

8 pages, Introduction, Corollary 4 and typos are corrected

References in corpus (3)

• Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras
• Diagonal-preserving gauge-invariant isomorphisms of graph $C^{\ast }$-algebras
• Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids