The coarse Baum-Connes conjecture for Busemann non-positively curved spaces
K-Theory and Homology
2018-10-23 v3
Abstract
We prove that the coarse assembly maps for proper metric spaces which are non-positively curved in the sense of Busemann are isomorphisms, where we do not assume that the spaces are with bounded coarse geometry. Also it is shown that we can calculate the coarse K-homology and the K-theory of the Roe algebra by using the visual boundaries.
Keywords
Cite
@article{arxiv.1304.3224,
title = {The coarse Baum-Connes conjecture for Busemann non-positively curved spaces},
author = {Tomohiro Fukaya and Shin-ichi Oguni},
journal= {arXiv preprint arXiv:1304.3224},
year = {2018}
}
Comments
12 pages