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Advanced Courses in Mathematics - CRM Barcelona

An Introduction to C*-Algebras and the Classification Program

Authors: Strung, Karen

Editors: Perera, Francesc (Ed.)

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  • Includes well-explained examples
    Gives a comprehensive overview on the theory of C*-algebras
    Evolves from a course given at the CRM in Barcelona

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eBook $24.99
price for USA in USD
  • ISBN 978-3-030-47465-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $32.99
price for USA in USD
About this Textbook

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 authors

​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.


Table of contents (18 chapters)

Table of contents (18 chapters)
  • Banach algebras and spectral theory

    Pages 1-13

    Strung, Karen R.

  • C*-algebra basics

    Pages 14-25

    Strung, Karen R.

  • Positive elements

    Pages 26-41

    Strung, Karen R.

  • Positive linear functionals and representations

    Pages 42-50

    Strung, Karen R.

  • Von Neumann algebras and irreducible representations

    Pages 51-64

    Strung, Karen R.

Buy this book

eBook $24.99
price for USA in USD
  • ISBN 978-3-030-47465-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $32.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to C*-Algebras and the Classification Program
Authors
Editors
  • Francesc Perera
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2021
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-47465-2
DOI
10.1007/978-3-030-47465-2
Softcover ISBN
978-3-030-47464-5
Series ISSN
2297-0304
Edition Number
1
Number of Pages
XIII, 322
Topics