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arXiv · 1304.4784

Embeddable box spaces of free groups

A. Khukhro
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Abstract

We generalize the construction of Arzhantseva, Guentner and Spakula of a box space of the free group which admits a coarse embedding into Hilbert space. We show that for a finitely generated free group, the box space corresponding to the derived $m$-series (for any integer $m\geq 2$) coarsely embeds into Hilbert space. This gives new examples of metric spaces with bounded geometry which coarsely embed into Hilbert space but do not have Yu's property A.

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A. Khukhro. 2013-04-17. Embeddable box spaces of free groups. https://arxiv.org/abs/1304.4784

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