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Analytic K-Homology (Oxford Mathematical Monographs)

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Analytic K-Homology (Oxford Mathematical Monographs) Cover

 

Synopses & Reviews

Book News Annotation:

Higson and Roe (both mathematics, Pennsylvania State U.) share the essential ideas of the tool for conveying information about algebraic topology, functional analysis, and geometry. They expect readers to have completed a basic course in functional analysis and have had some exposure to homological mathematics for the first seven chapters, which could serve as a text for a graduate course introducing K- homology. The other five chapters introduce Kasparov theory and become more sophisticated, requiring readers to supply at least some of their own details, in addition, many of the examples come from elliptic operator theory, and so require some familiarity with the machinery of smooth manifolds and vector bundles.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Table of Contents

1. C*-Algebras and Operator Theory

2. Index Theory and Extensions

3. Completely Positive Maps

4. K-Theory

5. Duality Theory

6. Coarse Geometry and K-Homology

7. The Brown-Douglas-Fillmore Theorem

8. Kasparov's K-Homology

9. The Kasparov Product

10. Elliptic Differential Operators

11. Index Theory

12. Higher Index Theory

Appendix A. Gradings

Appendix B. Real K-Homology

References

Index

Product Details

ISBN:
9780198511762
Author:
Higson, Nigel
Author:
Roe, John
Author:
null, Nigel
Author:
null, John
Publisher:
OUP Oxford
Location:
Oxford
Subject:
Applied
Subject:
Functional Analysis
Subject:
K-theory
Subject:
Topology - General
Subject:
Mathematics | Pure Mathematics
Subject:
Mathematics : Functional Analysis
Series:
Oxford Mathematical Monographs
Series Volume:
no. 85
Publication Date:
20001231
Binding:
HARDCOVER
Grade Level:
College/higher education:
Language:
English
Illustrations:
9 line illus
Pages:
424
Dimensions:
9 x 6 x 1 in 1.6 lb

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