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Morita equivalences and KK-theory for Banach algebras

Part of: Modules, bimodules and ideals Selfadjoint operator algebras $K$-theory and operator algebras

Published online by Cambridge University Press:  15 December 2008

Walther Paravicini
Walther Paravicini
Affiliation:
Westfälische Wilhelms–Universität, Einsteinstraβe 62, 48149 Münster, Germany, (w.paravicini@uni-muenster.de).
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Abstract

Vincent Lafforgue's bivariant K-theory for Banach algebras is invariant in the second variable under a rather general notion of Morita equivalence. In particular, the ordinary topological K-theory for Banach algebras is invariant under Morita equivalences.

Keywords

K-theoryMorita equivalenceKKban-theoryequivariantBanach algebra

MSC classification

Secondary: 46L80: $K$-theory and operator algebras (including cyclic theory) 19K35: Kasparov theory ($KK$-theory) 16D90: Module categories ; module theory in a category-theoretic context; Morita equivalence and duality
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 8 , Issue 3 , July 2009 , pp. 565 - 593
Copyright
Copyright © Cambridge University Press 2008

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References

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