Groups, Geometry, and Dynamics
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Published online: 2017-06-26
Non-amenability and visual Gromov hyperbolic spacesJuhani Koivisto (1) University of Helsinki, Finland
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: Hyperbolic spaces, isoperimetry, amenability
Koivisto Juhani: Non-amenability and visual Gromov hyperbolic spaces. Groups Geom. Dyn. 11 (2017), 685-704. doi: 10.4171/GGD/412