40 citations · 130 across the 31 of their papers we have counts for
5 papers · 1 filter
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…
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…
Metric Approximations of Wreath Products
Ben Hayes, Andrew Sale
Given the large class of groups already known to be sofic, there is seemingly a shortfall in results concerning their permanence properties. We address this problem for wreath prod…
The Wreath Product of Two Sofic Groups is Sofic
Ben Hayes, Andrew Sale
Given sofic approximations for countable, discrete groups , we construct a sofic approximation for their wreath product .
Metric Mean Dimension for Algebraic Actions of Sofic Groups
Ben Hayes
Recently Bingbing Liang and Hanfeng Li computed the mean dimension and metric mean dimension for algebraic actions of amenable groups. We show how to extend their computation of me…