An Introduction to KTheory for C*Algebras
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Additional Book Details
Over the last 25 years Ktheory 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 Ktheory 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 AFalgebras, and it is shown that each pair of countable Abelian groups arises as the Kgroups 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.
Sold By  Cambridge University Press 

ISBNs  9780521783347, 9780521783347, 0511826036, 9780511826030 
Language  eng 