Blown-up corona of relatively hyperbolic groups
Group Theory
2024-02-20 v1 Geometric Topology
Abstract
We show that under appropriate assumptions, a blown-up corona of a relatively hyperbolic group is equivariant and the compactification of the universal space for proper action by the blown-up corona is contractible. As a corollary, we establish the formula to determine the covering dimension of the blown-up corona by the cohomological dimension of the group. We also show that the blown-up corona of a hyperbolic group with respect to an almost malnormal family of quasiconvex subgroups is homeomorphic to the Gromov boundary of the group.
Cite
@article{arxiv.2402.11501,
title = {Blown-up corona of relatively hyperbolic groups},
author = {Tomohiro Fukaya},
journal= {arXiv preprint arXiv:2402.11501},
year = {2024}
}
Comments
32 pages