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An Introduction to C*-Algebras and the Classification Program by Karen R. Strung
An Introduction to C*-Algebras and the Classification Program by Karen R. Strung
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An Introduction to C*-Algebras and the Classification Program

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Description

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.

Author Biography:

​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.
Release date NZ
December 16th, 2020
Audience
  • Professional & Vocational
Contributor
  • Edited by Francesc Perera
Edition
1st ed. 2021
Illustrations
XIII, 322 p.
Pages
322
ISBN-13
9783030474645
Product ID
33402763

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