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K-Theory for Operator Algebras : Mathematical Sciences Research Institute Publications - Bruce Blackadar

K-Theory for Operator Algebras

Mathematical Sciences Research Institute Publications


Published: 8th February 1999
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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 first paperback printing has been revised and expanded and contains an updated reference list. 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.

'The book is well written, with a great number of examples, exercises and problems that help one to understand the theory ...'. European Maths Society Journal

Introduction to K-theory
K-theory and order
K1-theory and Bott periodicity
K-theory of crossed products
More preliminaries
Theory of extensions
Kasparov's KK-theory
Further topics
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521635325
ISBN-10: 0521635322
Series: Mathematical Sciences Research Institute Publications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 324
Published: 8th February 1999
Country of Publication: GB
Dimensions (cm): 23.06 x 15.9  x 2.03
Weight (kg): 0.49
Edition Number: 2