Titlebook: An Introduction to C*-Algebras and the Classification Program; Karen R. Strung,Francesc Perera Textbook 2021 The Editor(s) (if applicable)

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Group C*-algebras and crossed products,The group C*-algebra and crossed product construction provide a plethora of interesting examples of C*-algebras. They provide links to harmonic analysis, topological dynamics, quantum groups, and beyond.

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Quasidiagonality and tracial approximation,This chapter is somewhat different from the previous three chapters. Instead of constructing C*-algebras which we then show are simple (or find conditions under which they are simple), here we start with a simple C*-algebra and show it has a particular structure.

Entrancing

K-theory,It would be difficult to talk about the classification of C*-algebras without talking about K-theory. For the reader familiar with topological K-theory, K-theory for C*-algebras can be thought of its noncommutative version.

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The Cuntz semigroup and strict comparison,We saw in Chapter 12 that via the K.-group of a C*-algebra we are able to determine important information by studying the structure of its projections. The more projections a C*-algebra has, the more information we can gain from its K-theory.

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