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math.GR2023
Approximate homomorphisms and sofic approximations of orbit equivalence relations
Ben Hayes, Srivatsav Kunnawalkam Elayavalli
We show that for every countable group, any sequence of approximate homomorphisms with values in permutations can be realized as the restriction of a sofic approximation of an orbi…
math.GR2023
On sofic approximations of non amenable groups
Ben Hayes, Srivatsav Kunnawalkam Elayavalli
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 aut…