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An Introduction to K-Theory for C*-Algebras

An Introduction to K-Theory for C*-Algebras

Hardcover

Series: London Mathematical Society Student Texts, Book 49

Medical ReferenceAlgebraGeneral Mathematics

ISBN10: 0521783348
ISBN13: 9780521783347
Publisher: Cambridge University Press
Published: Jul 20 2000
Pages: 256
Weight: 1.20
Height: 0.75 Width: 6.00 Depth: 9.00
Language: English
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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