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An Introduction to C*-Algebras and the Classification Program

An Introduction to C*-Algebras and the Classification Program - Advanced Courses in Mathematics - CRM Barcelona

1st Edition 2021

Paperback (16 Dec 2020)

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Publisher's Synopsis

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.

This volume will also be valuable to researchers in the area as a reference guide. It contains an extensive reference list to guide readers that wish to travel further.

Book information

ISBN: 9783030474645
Publisher: Springer International Publishing
Imprint: Birkhauser
Pub date:
Edition: 1st Edition 2021
Language: English
Number of pages: 322
Weight: 544g
Height: 240mm
Width: 168mm
Spine width: 15mm