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arXiv · 2306.04713

On sofic approximations of non amenable groups

Ben Hayes·Srivatsav Kunnawalkam Elayavalli
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Abstract

In this paper we exhibit for every non amenable group that is initially sub-amenable (sometimes also referred to as LEA), two sofic approximations that are not conjugate by any automorphism of the universal sofic group. This addresses a question of Paunescu and generalizes the Elek-Szabo uniqueness theorem for sofic approximations.

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BibTeXRIS

Ben Hayes, Srivatsav Kunnawalkam Elayavalli. 2023-06-07. On sofic approximations of non amenable groups. https://arxiv.org/abs/2306.04713

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