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

By:

Rørdam, M. (Mikael), 1959- [Author]

Contributor(s):

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781107363090

Subject(s):

Genre/Form:

Electronic Books.

LOC classification:

QA612 .I587 2000

Online resources:

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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)	G. Allen Fleece Library ONLINE	Non-fiction	QA612.33 (Browse shelf(Opens below))	Link to resource	Available		ocn831625390

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Previous	QA611.5 Ergodic theory and topological dynamics of group actions on homogeneous spacesM. Bachir Bekka, Matthias Mayer.	QA611.5 Topics in symbolic dynamics and applications /edited by F. Blanchard, A. Maass, A. Nogueira.	QA612.14 Stable modules and the D(2)-problemF.E.A. Johnson.	QA612.33 An introduction to K-theory for C*-algebrasM. Rørdam, F. Larsen, N. Laustsen.	QA612.33 An algebraic introduction to K-theoryBruce A. Magurn.	QA612.7 The homotopy category of simply connected 4-manifoldsHans Joachim Baues.	QA613.4 Spaces of PL manifolds and categories of simple mapsFriedhelm Waldhausen, Bjørn Jahren, and John Rognes.	Next

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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