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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."--Pub. desc.

"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.

"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.

Publisher:
Cambridge, UK ; New York, NY : Cambridge University Press, 2000

ISBN:
9781107368002

1107368006

9780511623806

0511623801

9780511826030

0511826036

9781107363090

1107363098

9780521789448

0521789443

9780521783347

0521783348

1107368006

9780511623806

0511623801

9780511826030

0511826036

9781107363090

1107363098

9780521789448

0521789443

9780521783347

0521783348

Characteristics:
1 online resource (xii, 242 pages) : illustrations

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