Kengo Matsumoto

Introduction.- Topological Markov Shifts.- Flow Equivalence.- Continuous Orbit Equivalence.- Etale Groupoids and Cuntz–Krieger Algebras.- K-Theory for Infinite Simple 𝑪∗-Algebras.- K-Theory for Cuntz–Krieger Algebras.- Strong Shift Equivalence, Flow Equivalence and Cuntz–Krieger Algebras.- Classification Theorem for Continuous Orbit Equivalence.- Gauge Actions and Continuous Orbit Equivalence.- Classification Theorem for Flow Equivalence and Topological Conjugacy.