Gauge Actions and Continuous Orbit Equivalence
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.