Finitely presented simple groups and measure equivalence
Group Theory
2023-10-16 v2
Abstract
We exhibit explicit infinite families of finitely presented, Kazhdan, simple groups that are pairwise not measure equivalent. These groups are lattices acting on products of buildings. We obtain the result by studying vanishing and non-vanishing of their -Betti numbers.
Cite
@article{arxiv.2101.09071,
title = {Finitely presented simple groups and measure equivalence},
author = {Antonio López Neumann},
journal= {arXiv preprint arXiv:2101.09071},
year = {2023}
}
Comments
17 pages. Changes in version 2: proofs are formulated in a more clear way using nerves and some minor typos were corrected