The Baum-Connes Conjecture via Localization of Categories |
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Authors: | Ralf Meyer Ryszard Nest |
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Institution: | 1. Mathematisches Institut, Westf?lischeWilhelms-Universit?t Munster, Einsteinstr. 62, 48149, Münster, Germany 2. Kobenhavns Universitets Institut for Matematiske Fag, Universitetsparken 5, Copenhagen, 2100, 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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