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商品詳細
An Introduction to C*-Algebras and the Classification Program. 1st ed. 2021.
・ISBN 978-3-030-47464-5 paper EUR 25.99
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| 著者・編者 | Strung, Karen R. / Perera, Francesc (ed.), |
|---|---|
| シリーズ | Advanced Courses in Mathematics - CRM Barcelona |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2020 |
| ページ数 | 322 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16583＞ |
解説
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.