ISBN-10:
0817634967
ISBN-13:
9780817634964
Pub. Date:
03/01/1990
Publisher:
Birkh�user Boston
Elements of KK-Theory / Edition 1

Elements of KK-Theory / Edition 1

by Kjeld Knudsen Jensen, Klaus Thomsen

Hardcover

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Product Details

ISBN-13: 9780817634964
Publisher: Birkh�user Boston
Publication date: 03/01/1990
Series: Mathematics: Theory & Applications
Edition description: 1991
Pages: 202
Product dimensions: 6.10(w) x 9.25(h) x 0.24(d)

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. Cuntz’s Picture of KK-Theory.- § 5.1. qA.- § 5.2. KKc(A, B) ? KKo(A, B).- References.

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