CONTINUOUS ORBIT EQUIVALENCE OF TOPOLOGICAL MARKOV SHIFTS AND KMS STATES ON CUNTZ-KRIEGER ALGEBRAS

摘要

We study KMS states for gauge actions with potential functions on Cuntz-Krieger algebras whose underlying one-sided topological Markov shifts are continuously orbit equivalent. As a result, we have a certain relationship between topological entropy of continuously orbit equivalent one-sided topological Markov shifts.