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This title in other editions

An Introduction to K-Theory for C*-Algebras

by

An Introduction to K-Theory for C*-Algebras Cover

 

Synopses & Reviews

Publisher Comments:

Over the past twenty-five years K-theory has become an integrated part of the study of C*-algebras. This book gives a very elementary introduction to this interesting and rapidly growing area of mathematics. The authors cover the basic properties of the functors K and K1 and their interrelationship. In particular, the Bott periodicity theorem is proved (Atiyah's proof), and the six-term exact sequence is derived. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

Synopsis:

This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.

Table of Contents

Preface; 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; References; Table of K-groups; Index of symbols; General index.

Product Details

ISBN:
9780521789448
Author:
Larsen, F.
Author:
Laustsen, N. J.
Author:
R
Author:
Laustsen, N.
Author:
rdam
Author:
Rordam, M.
Author:
rdam, M.
Author:
o
Author:
ø
Author:
M. R
Author:
Series, C. M.
Author:
Rrdam, M.
Publisher:
Cambridge University Press
Location:
Cambridge,UK
Subject:
General
Subject:
Differential Equations
Subject:
Probability
Subject:
Algebra - Linear
Subject:
Functional Analysis
Subject:
C algebras
Subject:
K-theory
Subject:
Cx-algebras.
Subject:
Mathematics : Functional Analysis
Subject:
Algebra - Abstract
Edition Description:
Trade paper
Series:
London Mathematical Society Student Texts
Series Volume:
49
Publication Date:
20070831
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
124 exercises
Pages:
256
Dimensions:
9.00x6.00x.58 in. .84 lbs.

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An Introduction to K-Theory for C*-Algebras New Trade Paper
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Product details 256 pages Cambridge University Press - English 9780521789448 Reviews:
"Synopsis" by , This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
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