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On non-amenable embeddable spaces in relation with free products

Published 15 Jan 2018 in math.GR | (1801.04889v1)

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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