On non-amenable embeddable spaces in relation with free products
Group Theory
2018-01-16 v1
Abstract
In this paper we give sufficient conditions for a free product of residually finite groups to admit an embeddable box space. This generalizes the constructions of Arzhantseva, Guentner and Spakula in arXiv:1101.1993v2 and gives a new class of non-amenable metric spaces with bounded geometry which coarsely embeds into Hilbert space.
Cite
@article{arxiv.1801.04889,
title = {On non-amenable embeddable spaces in relation with free products},
author = {Kévin Boucher},
journal= {arXiv preprint arXiv:1801.04889},
year = {2018}
}
Comments
32 pages