On sofic approximations of non amenable groups

2023/06/07 by Hayes, Ben, Elayavalli, Srivatsav Kunnawalkam
#Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2306.04713

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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