Non-amenability and visual Gromov hyperbolic spaces
Metric Geometry
2017-06-06 v6 Group Theory
Abstract
We prove that a uniformly coarsely proper hyperbolic cone over a bounded metric space consisting of a finite union of uniformly coarsely connected components each containing at least two points is non-amenable and apply this to visual Gromov hyperbolic spaces.
Keywords
Cite
@article{arxiv.1505.04662,
title = {Non-amenability and visual Gromov hyperbolic spaces},
author = {Juhani Koivisto},
journal= {arXiv preprint arXiv:1505.04662},
year = {2017}
}
Comments
To appear in Groups Geom. Dyn. 11 (2017)