K-theory for operator algebras
著者
書誌事項
K-theory for operator algebras
（Mathematical Sciences Research Institute publications, 5）
Cambridge University Press, c1998
2nd ed
- : pbk
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注記
Includes bibliographical references (p.283-296) and index
First edition published 1986 by Springer-Verlag
"Transferred to digital printing 2002"--T.p. verso
内容説明・目次
内容説明
K-theory has helped convert the theory of operator algebras from a simple branch of functional analysis to a subject with broad applicability throughout mathematics, especially in geometry and topology, and many mathematicians of diverse backgrounds must learn the essential parts of the theory. This book is the only comprehensive treatment of K-theory for operator algebras, and is intended to help students, non-specialists, and specialists learn the subject. This book develops K-theory, the theory of extensions, and Kasparov's bivariant KK-theory for C*-algebras. Special topics covered include the theory of AF algebras, axiomatic K-theory, the Universal Coefficient Theorem, and E-theory. Although the book is technically complete, motivation and intuition are emphasized. Many examples and applications are discussed. This first paperback printing has been revised and expanded and contains an updated reference list.
目次
- 1. Introduction to K-theory
- 2. Preliminaries
- 3. K-theory and order
- 4. K1-theory and Bott periodicity
- 5. K-theory of crossed products
- 6. More preliminaries
- 7. Theory of extensions
- 8. Kasparov's KK-theory
- 9. Further topics.
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