Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. 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.

This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
Reviews
'The textbook is a nice introduction to the subject preparing the ground for the study of more advanced texts.' H. Schroeder, Zentralblatt fur Mathematik



Book Information
ISBN 9780521789448
Author M. Rordam
Format Paperback
Page Count 256
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 392g
Dimensions(mm) 229mm * 152mm * 15mm