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2006 Homotopy invariance in E-theory
Klaus Thomsen
Homology Homotopy Appl. 8(2): 29-49 (2006).

Abstract

We introduce equivalence relations among asymptotic homomorphisms that in general are stronger than homotopy, but which we show are equivalent to homotopy when the domain is a suspended $C^*$-algebra. As an application, we show that the E-theory of Connes and Higson can be realized as a special case of Kasparov’s KK-theory.

Citation

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Klaus Thomsen. "Homotopy invariance in E-theory." Homology Homotopy Appl. 8 (2) 29 - 49, 2006.

Information

Published: 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1098.19003
MathSciNet: MR2219234

Subjects:
Primary: 19K35, 46L85

Rights: Copyright © 2006 International Press of Boston

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Vol.8 • No. 2 • 2006
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