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Equivariant KK-theory for inverse limits of G-C*-algebras

Part of: $K$-theory and operator algebras Homology and cohomology theories Selfadjoint operator algebras Topological $K$-theory

Published online by Cambridge University Press:  09 April 2009

Claude Schochet
Claude Schochet
Affiliation:
Mathematics Department, Wayne State University, Detroit, Michigan 48202, U.S.A.
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Abstract

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The Kasparov groups are extended to the setting of inverse limits of G-C*-algebras, where G is assumed to be a locally compact group. The K K-product and other important features of the theory are generalized to this setting.

Keywords

Kasparov groupsK K-theoryequivariant K-theorypro-C*-algebrasσ-C*-algebrasinverse limit of G-C*-algebraspro-G-C*-algebrasσ-G-C*-algebras.

MSC classification

Secondary: 19K33: EXT and $K$-homology 19L47: Equivariant $K$-theory 46L80: $K$-theory and operator algebras (including cyclic theory) 55N91: Equivariant homology and cohomology
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 56 , Issue 2 , April 1994 , pp. 183 - 211
Copyright
Copyright © Australian Mathematical Society 1994

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