Coarse and equivariant co-assembly maps
K-Theory and Homology
2015-10-23 v2
Abstract
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.
Cite
@article{arxiv.math/0611610,
title = {Coarse and equivariant co-assembly maps},
author = {Heath Emerson and Ralf Meyer},
journal= {arXiv preprint arXiv:math/0611610},
year = {2015}
}
Comments
The results are mostly contained in math.OA/0405388, but are going to be published separately because of a referee's request