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

Description: Elements of KK-Theory by Kjeld Knudsen Jensen, Klaus Thomsen The KK-theory of Kasparov is now approximately twelve years old; Nonethe less, it remains a forbiddingly difficult topic with which to work and learn. Finally, the subject itself has come to consist of a number of difficult segments, each of which demands prolonged and intensive study. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Table of Contents 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. Cuntzs Picture of KK-Theory.- § 5.1. qA.- § 5.2. KKc(A, B) ? KKo(A, B).- References. Review This book is essential reading for those involved in chemical engineering and technology, mining and fertilizer industries, marketing use and distribution of fertilizers. Agrochimica, XLII:5 (1998) Promotional Springer Book Archives Long Description The KK-theory of Kasparov is now approximately twelve years old; its power, utility and importance have been amply demonstrated. Nonethe Details ISBN146126765X Author Klaus Thomsen Language English Year 2012 Short Title ELEMENTS OF KK-THEORY SOFTCOVE Series Mathematics: Theory & Applications Media Book DEWEY 512.55 Birth 1961 Edition 90199th ISBN-10 0817634967 Imprint Humana Press Inc. Place of Publication Totowa, NJ Country of Publication United States Illustrations VIII, 202 p. AU Release Date 2012-09-30 NZ Release Date 2012-09-30 US Release Date 2012-09-30 UK Release Date 2012-09-30 Pages 202 Publisher Humana Press Inc. Edition Description Softcover reprint of the original 1st ed. 1991 ISBN-13 9781461267652 Format Paperback Publication Date 2012-09-30 Alternative 9780817634964 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96332499;

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