On the Baum-Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces
K-Theory and Homology
2019-08-29 v1 Group Theory
Operator Algebras
Abstract
We give a new proof of the Baum--Connes conjecture with coefficients for any second countable, locally compact topological group that acts properly and cocompactly on a finite-dimensional CAT(0)-cubical space with bounded geometry. The proof uses the Julg-Valette complex of a CAT(0)-cubical space introduced by the first three authors, and the direct splitting method in Kasparov theory developed by the last author.
Cite
@article{arxiv.1908.10485,
title = {On the Baum-Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces},
author = {Jacek Brodzki and Erik Guentner and Nigel Higson and Shintaro Nishikawa},
journal= {arXiv preprint arXiv:1908.10485},
year = {2019}
}
Comments
25 pages