Crossed Products of C*-Algebras, Topological Dynamics, and Classification

Crossed Products of C*-Algebras, Topological Dynamics, and Classification

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This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matemàtica (CRM) in Barcelona. The notes consist of four series of lectures.The first one, given by Andrew Toms, presents the basic properties of the Cuntz semigroup and its role in the classification program of simple, nuclear, separable C_-algebras. The second series of lectures, delivered by N. Christopher Phillips, serves as an introduction to group actions on C_-algebras and their crossed products, with emphasis on the simple case and when the crossed products are classi...