23 citations · 86 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
On relative hyperbolicity for a group and relative quasiconvexity for a subgroup
Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
We consider two families of subgroups of a group. Each subgroup which belongs to one family is contained in some subgroup which belongs to the other family. We then discuss relatio…
Notes on relatively hyperbolic groups and relatively quasiconvex subgroups
Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata
We define relatively quasiconvex subgroups of relatively hyperbolic groups in the sense of Osin and show that such subgroups have expected properties. Also we state several definit…