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An Introduction to C*-Algebras and the Classification Program
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An Introduction to C*-Algebras and the Classification Program

1st ed. 2021

Book Details

Format Paperback / Softback
ISBN-10 303047464X
ISBN-13 9783030474645
Edition 1st ed. 2021
Publisher Springer Nature Switzerland AG
Imprint Springer Nature Switzerland AG
Country of Manufacture CH
Country of Publication GB
Publication Date Dec 16th, 2020
Print length 322 Pages
Product Classification: AlgebraFunctional analysis & transforms
Ksh 4,150.00
Publisher Out of Stock

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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.

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.


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