Overview
- Includes well-explained examples
- Gives a comprehensive overview on the theory of C*-algebras
- Evolves from a course given at the CRM in Barcelona
Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)
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Table of contents (18 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
“The book under review provides an overview of this classification theorem, together with a thorough introduction to the general theory of C*-algebras.” (Zhuang Niu, zbMATH 1479.46003, 2022)
Authors, Editors and Affiliations
About the editor
Karen R. Strung is a researcher in the Department of Abstract Analysis at the Institute of Mathematics of the Czech Academy of Sciences, in Prague, Czechia. I study the classification and structure of C*-algebras and their connections to dynamical systems.
Bibliographic Information
Book Title: An Introduction to C*-Algebras and the Classification Program
Authors: Karen R. Strung
Editors: Francesc Perera
Series Title: Advanced Courses in Mathematics - CRM Barcelona
DOI: https://doi.org/10.1007/978-3-030-47465-2
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-47464-5Published: 16 December 2020
eBook ISBN: 978-3-030-47465-2Published: 15 December 2020
Series ISSN: 2297-0304
Series E-ISSN: 2297-0312
Edition Number: 1
Number of Pages: XIII, 322
Topics: Functional Analysis, Order, Lattices, Ordered Algebraic Structures