In this chapter, we will study several subequivalence relations of continuous orbit equivalence (COE) in one-sided topological Markov shifts. They are strongly continuous orbit equivalence (SCOE), uniformly continuous orbit equivalence (UCOE), one-sided eventual conjugacy and one-sided topological conjugacy. All of them are characterized in terms of generalized gauge actions on Cuntz–Krieger algebras.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Gauge Actions and Continuous Orbit Equivalence

  • Kengo Matsumoto

摘要

In this chapter, we will study several subequivalence relations of continuous orbit equivalence (COE) in one-sided topological Markov shifts. They are strongly continuous orbit equivalence (SCOE), uniformly continuous orbit equivalence (UCOE), one-sided eventual conjugacy and one-sided topological conjugacy. All of them are characterized in terms of generalized gauge actions on Cuntz–Krieger algebras.