Symbolic Dynamical Systems and C*-Algebras Continuous Orbit Equivalence of Topological Markov Shifts and Cuntz–Krieger Algebras

“This is a carefully written and welcome contribution to the research literature on classification of shifts and its connection to operator algebras. It develops the sophisticated theory carefully and from a low starting point, and will be of great use to researchers in the field.” (Thomas B. Ward, zbMATH 1571.46001, 2026) 

“The text serves to introduce both the graduate student and the researcher to these topics. ... All the key topics-symbolic dynamics, Cuntz-Krieger algebras … and inverse semigroups-are introduced in a manner that seems accessible to interested graduate students. In an effort to be self-contained, many results of independent interest are proven in full detail. ... Each chapter ends with historical notes ... .” (Kevin Aguyar Brix, Mathematical Reviews, January, 2026)