3 papers
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…
math.OA2021
Cartan subalgebras in von Neumann algebras associated with graph product groups
Ionut Chifan, Srivatsav Kunnawalkam Elayavalli
In this short note we classify the Cartan subalgebras in all von Neumann algebras associated with graph product groups and their free ergodic measure preserving actions on probabil…