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An introduction to K-theory for C*-algebrasM. Rørdam, F. Larsen, N. Laustsen.

By: Contributor(s): Material type: TextTextSeries: Publication details: Cambridge, UK ; New York, NY : Cambridge University Press, (c)2000.Description: 1 online resource (xii, 242 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781107363090
Subject(s): Genre/Form: LOC classification:
  • QA612 .I587 2000
Online resources: Available additional physical forms:
Contents:
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
Subject: "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.Subject: 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.
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Item type Current library Collection Call number URL Status Date due Barcode
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) G. Allen Fleece Library ONLINE Non-fiction QA612.33 (Browse shelf(Opens below)) Link to resource Available ocn831625390

Includes bibliographies and index.

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

"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.

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