Direct Splitting Method for the Baum-Connes Conjecture
Operator Algebras
2019-04-08 v2 K-Theory and Homology
Abstract
We introduce a new method for studying the Baum-Connes conjecture, which we call the direct splitting method. The method can simplify and clarify proofs of some of the known cases of the conjecture. In a separate paper, with J. Brodzki, E. Guentner and N. Higson, a similar idea will be used to give a finite-dimensional proof of the Baum-Connes conjecture for groups which act properly and co-compactly on a finite-dimensional CAT(0)-cubical space.
Cite
@article{arxiv.1808.08298,
title = {Direct Splitting Method for the Baum-Connes Conjecture},
author = {Shintaro Nishikawa},
journal= {arXiv preprint arXiv:1808.08298},
year = {2019}
}
Comments
34 pages, changed introduction, modified the definition of property (gamma), included more results