Continuous orbit equivalence of topological Markov shifts and KMS states on Cuntz--Krieger algebras
arXiv:1907.03589
Abstract
We study KMS states for gauge actions with potential functions on Cuntz--Krieger algebras whose underlying one-sided topological Markov shifts are continuous orbit equivalent. As a result, we have a certain relationship between topological entropy of continuous orbit equivalent one-sided topological Markov shifts.
15 pages. Typos were corrected. To appear in Discrete and Continuous Dynamical Systems