An Introduction to K-Theory for C*-Algebras

F. Larsen; N. J. Laustsen; M. Rørdam

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Author
F. Larsen; N. J. Laustsen; M. Rørdam
Publish Date
2000-07-20
Book Type
Hardcover
Number of Pages
256
Publisher Name
Cambridge University Press
ISBN-10
0521783348
ISBN-13
9780521783347
citemno
041092
SKU
9780521783347

Description

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.