collaborators

2 papers

math.GR2026

Exactness and the topology of the space of invariant random equivalence relations

Héctor Jardón-Sánchez, Sam Mellick, Antoine Poulin +1

We characterize exactness of a countable group in terms of invariant random equivalence relations (IREs) on . Specifically, we show that is exact if and only if every…

math.GR2025

Unimodular random graphs with Property (T) have cost one

Łukasz Grabowski, Héctor Jardón-Sánchez, Sam Mellick

Hutchcroft and Pete showed that countably infinite groups with Property (T) admit cost one actions, resolving a question of Gaboriau. We give a streamlined proof of their theorem,…