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Author Rørdam, M. (Mikael), 1959-

Title An introduction to K-theory for C*-algebras / M. Rørdam, F. Larsen, N. Laustsen
Published Cambridge, UK ; New York, NY : Cambridge University Press, 2000
Online access available from:
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Description 1 online resource (xii, 242 pages) : illustrations
Series London Mathematical Society student texts ; 49
London Mathematical Society student texts ; 49
Contents 1. C*-algebra theory -- 2. Projections and unitary elements -- 3. The K0-group of a unital C*-algebra -- 4. The functor K0 -- 5. The ordered Abelian group K0(A) -- 6. Inductive limit C*-algebras -- 7. Classification of AF-algebras -- 8. The functor K1 -- 9. The index map -- 10. The higher K-functors -- 11. Bott periodicity -- 12. The six-term exact sequence -- 13. Inductive limits of dimension drop algebras
Summary "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."--pub. desc
Bibliography Includes bibliographical references (pages 231-233) and indexes
Notes Description based on print version record
Subject C*-algebras.
Form Electronic book
Author Larsen, F. (Flemming), 1971-
Laustsen, N. (Niels), 1969-
ISBN 0511623801 (electronic bk.)
0511826036 (ebook)
1107363098 (electronic bk.)
9780511623806 (electronic bk.)
9780511826030 (ebook)
9781107363090 (electronic bk.)