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.

中文翻译：

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Cuntz-Krieger代数上的拓扑马尔可夫位移和KMS状态的连续轨道等价

我们研究KMS状态，以了解具有潜在功能的Cuntz-Krieger代数上具有潜在功能的轨距行为，这些代数的潜在单侧拓扑马尔可夫位移连续与轨道等效。结果，我们在连续轨道等效单侧拓扑马尔可夫位移的拓扑熵之间有一定的关系。