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Mathematics: Theory and Applications Ser.: Elements of KK-Theory by Klaus Thomsen and Kjeld Knudsen Jensen (2012, Trade Paperback)

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Author Kjeld Knudsen Jensen, Klaus Thomsen. There are many reasons for this. For another, the literature is scattered and difficult to penetrate. Format Paperback. Sports & Outdoors.

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Product Information

The KK-theory of Kasparov is now approximately twelve years old; its power, utility and importance have been amply demonstrated. Nonethe less, it remains a forbiddingly difficult topic with which to work and learn. There are many reasons for this. For one thing, KK-theory spans several traditionally disparate mathematical regimes. For another, the literature is scattered and difficult to penetrate. Many of the major papers require the reader to supply the details of the arguments based on only a rough outline of proofs. Finally, the subject itself has come to consist of a number of difficult segments, each of which demands prolonged and intensive study. is to deal with some of these difficul Our goal in writing this book ties and make it possible for the reader to "get started" with the theory. We have not attempted to produce a comprehensive treatise on all aspects of KK-theory; the subject seems too vital to submit to such a treatment at this point. What seemed more important to us was a timely presen tation of the very basic elements of the theory, the functoriality of the KK-groups, and the Kasparov product.

Product Identifiers

Publisher
Birkhäuser Boston
ISBN-10
146126765x
ISBN-13
9781461267652
eBay Product ID (ePID)
18038377676

Product Key Features

Author
Kjeld Knudsen Jensen, Klaus Thomsen
Publication Name
Elements of Kk-Theory
Format
Trade Paperback
Language
English
Publication Year
2012
Series
Mathematics: Theory and Applications Ser.
Type
Textbook
Number of Pages
VIII, 202 Pages

Dimensions

Item Length
9.3in
Item Height
0.2in
Item Width
6.1in
Item Weight
11.9 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qa612.33
Table of Content
1. Hilbert C*- Modules.- § 1.1. Hilbert C*-Modules and Multiplier Algebras.- § 1.2. Constructions with Hilbert B-Modules.- § 1.3. Stable C*-Algebras.- 2. The Kasparov Approach to KK-Theory.- § 2.1. The KK-Groups.- § 2.2. The Kasparov Product.- 3. C*-Extensions.- § 3.1. The Busby Invariant.- § 3.2. The Extension Groups.- § 3.3. Connections to KK-Theory.- 4. The Kasparov Groups for Ungraded C*-Algebras.- § 4.1. From Hilbert C*-Modules to *-Homomorphisms.- § 4.2. Split-Exactness of KKh.- § 4.3. The Kasparov Product as a Generalization of Composition of *-Homomorphisms.- 5. Cuntz's Picture of KK-Theory.- § 5.1. qA.- § 5.2. KKc(A, B) ? KKo(A, B).- References.
Copyright Date
1991
Topic
Algebra / Abstract, Topology, Algebra / General
Dewey Decimal
512/.55
Intended Audience
Scholarly & Professional
Dewey Edition
20
Illustrated
Yes
Genre
Mathematics

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Mathematics: Theory and Applications Ser.: Elements of KK-Theory by Klaus Thomsen and Kjeld Knudsen Jensen (2012, Trade Paperback)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Elements of KK-Theory by Kjeld Knudsen Jensen (English) Paperback Book

item 2 Elements of KK-Theory

item 3 Kjeld Knudsen Jensen Klaus Thomsen Elements of KK-Theory (Paperback) (UK IMPORT)

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