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- catalog abstract ""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.".
- catalog contributor b11786662.
- catalog contributor b11786663.
- catalog contributor b11786664.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description ""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.".
- catalog description "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.".
- catalog description "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.".
- catalog description "Includes bibliographical references (p.231-233) and indexes.".
- catalog extent "xii, 242 p. :".
- catalog identifier "0521783348 (hardback)".
- catalog identifier "0521789443 (paperback)".
- catalog isPartOf "London Mathematical Society student texts ; 49".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "Cambridge,UK ; New York, NY : Cambridge University Press,".
- catalog subject "512/.55 21".
- catalog subject "C*-algebras.".
- catalog subject "K-theory.".
- catalog subject "QA612.33 .R66 2000".
- catalog tableOfContents "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.".
- catalog title "An introduction to K-theory for C*-algebras / M. Rørdam, F. Larsen, N. Laustsen.".
- catalog type "text".