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An Introduction to C*-Algebras and the Classification Program

An Introduction to C*-Algebras and the Classification Program

Paperback

Series: Advanced Courses in Mathematics - Crm Barcelona

AlgebraGeneral Mathematics

ISBN10: 303047464X
ISBN13: 9783030474645
Publisher: Birkhauser
Published: Dec 16 2020
Pages: 322
Weight: 1.20
Height: 0.60 Width: 7.70 Depth: 9.40
Language: English

This book is directed towards graduate students that wish to start from the basic theory of C*-algebras and advance to an overview of some of the most spectacular results concerning the structure of nuclear C*-algebras.

The text is divided into three parts. First, elementary notions, classical theorems and constructions are developed. Then, essential examples in the theory, such as crossed products and the class of quasidiagonal C*-algebras, are examined, and finally, the Elliott invariant, the Cuntz semigroup, and the Jiang-Su algebra are defined. It is shown how these objects have played a fundamental role in understanding the fine structure of nuclear C*-algebras. To help understanding the theory, plenty of examples, treated in detail, are included.

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General Mathematics