A continuum of non-measure equivalent groups
Group Theory
2025-12-05 v1 Dynamical Systems
Operator Algebras
Abstract
We construct a continuum sized family of pairwise non-measure equivalent countable groups which have property (T) (hence are finitely generated), have zero -Betti numbers of all orders, and are torsion-free.
Keywords
Cite
@article{arxiv.2512.04531,
title = {A continuum of non-measure equivalent groups},
author = {Adrian Ioana and Robin Tucker-Drob},
journal= {arXiv preprint arXiv:2512.04531},
year = {2025}
}