23 citations · 64 across the 14 of their papers we have counts for
4 papers · 1 filter
Coronae of product spaces and the Coarse Baum-Connes conjecture
Tomohiro Fukaya, Shin-ichi Oguni
We study the coarse Baum-Connes conjecture for product spaces and product groups. We show that a product of CAT(0) groups, polycyclic groups and relatively hyperbolic groups which…
The coarse Baum-Connes conjecture for Busemann non-positively curved spaces
Tomohiro Fukaya, Shin-ichi Oguni
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 ar…
Coronae of relatively hyperbolic groups and coarse cohomologies
Tomohiro Fukaya, Shin-ichi Oguni
We construct a corona of a relatively hyperbolic group by blowing-up all parabolic points of its Bowditch boundary. We relate the -homology of the corona with the -theory of…
The coarse Baum-Connes conjecture for relatively hyperbolic groups
Tomohiro Fukaya, Shin-ichi Oguni
We study a group which is hyperbolic relative to a finite family of infinite subgroups. We show that the group satisfies the coarse Baum-Connes conjecture if each subgroup belongin…