Coarse and equivariant co-assembly maps

Details Coarse and equivariant co-assembly maps Coarse and equivariant co-assembly maps

2006-11-20

arxiv.org/abs/math/0611610v2

Mathematics

K-Theory and Homology

The results are mostly contained in math.OA/0405388, but are going to be published separately because of a referee's request

Scientific paper

We study an equivariant co-assembly map that is dual to the usual Baum-Connes assembly map and closely related to coarse geometry, equivariant Kasparov theory, and the existence of dual Dirac morphisms. As applications, we prove the existence of dual Dirac morphisms for groups with suitable compactifications, that is, satisfying the Carlsson-Pedersen condition, and we study a K-theoretic counterpart to the proper Lipschitz cohomology of Connes, Gromov and Moscovici.

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