Non-amenability and visual Gromov hyperbolic spaces
Groups, geometry, and dynamics, Tome 11 (2017) no. 2, pp. 685-704
Voir la notice de l'article provenant de la source EMS Press
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.
Classification :
53-XX, 20-XX
Mots-clés : Hyperbolic spaces, isoperimetry, amenability
Mots-clés : Hyperbolic spaces, isoperimetry, amenability
Affiliations des auteurs :
Juhani Koivisto  1
Juhani Koivisto. Non-amenability and visual Gromov hyperbolic spaces. Groups, geometry, and dynamics, Tome 11 (2017) no. 2, pp. 685-704. doi: 10.4171/ggd/412
@article{10_4171_ggd_412,
author = {Juhani Koivisto},
title = {Non-amenability and visual {Gromov} hyperbolic spaces},
journal = {Groups, geometry, and dynamics},
pages = {685--704},
year = {2017},
volume = {11},
number = {2},
doi = {10.4171/ggd/412},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/412/}
}
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