An Introduction to K-Theory for C*-Algebras (London Mathematical Society Student Texts, Series Number 49) - Hardcover

Rørdam, M.; Larsen, F.; Laustsen, N.

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9780521783347: An Introduction to K-Theory for C*-Algebras (London Mathematical Society Student Texts, Series Number 49)

Synopsis

Over the past twenty-five years K-theory has become an integrated part of the study of C*-algebras. This book gives a very elementary introduction to this interesting and rapidly growing area of mathematics. The authors cover the basic properties of the functors K and K1 and their interrelationship. In particular, the Bott periodicity theorem is proved (Atiyah's proof), and the six-term exact sequence is derived. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

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Book Description

Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives a very elementary introduction to this interesting and rapidly growing area of mathematics. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

Review

'The textbook is a nice introduction to the subject preparing the ground for the study of more advanced texts.' H. Schröder, Zentralblatt für Mathematik

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Other Popular Editions of the Same Title

9780521789448: An Introduction to K-Theory for C*-Algebras (London Mathematical Society Student Texts, Series Number 49)

Featured Edition

ISBN 10:  0521789443 ISBN 13:  9780521789448
Publisher: Cambridge University Press, 2000
Softcover