The Baum-Connes Conjecture via Localization of Categories |
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| Authors: | Ralf Meyer and Ryszard Nest |
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| Institution: | (1) Mathematisches Institut, WestfälischeWilhelms-Universität Munster, Einsteinstr. 62, Germany;(2) Kobenhavns Universitets Institut for Matematiske Fag, Universitetsparken 5, Denmark |
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| Abstract: | We redefine the Baum-Connes assembly map using simplicial approximation in the equivariant Kasparov category. This interpretation is ideal for studying functorial properties and gives analogues of the Baum-Connes assembly map for all equivariant homology theories. |
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| Keywords: | ds: operator algebras Baum– Connes conjecture triangulated categories |
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