An Introduction to C*-Algebras and the Classification Program

Strung, Karen R.

ISBN 10: 303047464X / ISBN 13: 9783030474645

Published by Birkhauser 2020-12, 2020

About this Item

Seller Inventory # 6666-IUK-9783030474645

Bibliographic Details

• Title: An Introduction to C*-Algebras and the Classification Program
• Publisher: Birkhauser 2020-12
• Publication Date: 2020
• Language: English
• ISBN 10: 303047464X
• ISBN 13: 9783030474645
• Binding: PF
• Condition: New

About this title

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.

About the Author

​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.