Symbolic Dynamical Systems and C*-Algebras (eBook, PDF)
Kengo Matsumoto
eBook, PDF

Symbolic Dynamical Systems and C*-Algebras (eBook, PDF)

Continuous Orbit Equivalence of Topological Markov Shifts and Cuntz-Krieger Algebras

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This book presents the interplay between topological Markov shifts and Cuntz-Krieger algebras by providing notations, techniques, and ideas in detail. The main goal of this book is to provide a detailed proof of a classification theorem for continuous orbit equivalence of one-sided topological Markov shifts. The continuous orbit equivalence of one-sided topological Markov shifts is classified in terms of several different mathematical objects: the étale groupoids, the actions of the continuous full groups on the Markov shifts, the algebraic type of continuous full groups, the Cuntz-Krieger al...

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