Flow equivalence of topological Markov shifts and Ruelle algebras

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.

Section 4 and Section 5 are corrected, 34 pages,

References in corpus (1)

• Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras

Cited by in corpus (1)

• On a family of $C^{\ast }$-subalgebras of Cuntz-Krieger algebras