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

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 theor...

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Bibliographic Details
Main Author: Strung, Karen R. (Author)
Corporate Author: SpringerLink (Online service)
Other Authors: Perera, Francesc (Editor)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021.
Edition:1st ed. 2021.
Series:Advanced Courses in Mathematics - CRM Barcelona,
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Physical Description:1 online resource (XIII, 322 pages)
ISBN:9783030474652
ISSN:2297-0312
DOI:10.1007/978-3-030-47465-2