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arXiv · 1801.04889

On non-amenable embeddable spaces in relation with free products

Kévin Boucher
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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.

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Kévin Boucher. 2018-01-15. On non-amenable embeddable spaces in relation with free products. https://arxiv.org/abs/1801.04889

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