Maximal amenable subgroups of arithmetic groups
Group Theory
2022-10-21 v1 Operator Algebras
Abstract
By classifying -maximal amenable subgroups of algebraic groups over a global field of characteristic zero, we obtain a complete classification of maximal amenable subgroups up to commensurability in the respective arithmetic groups. Futhermore, we prove that these commensurably maximal amenable subgroups are singular and therefore give rise to maximal amenable von Neumann subalgebras.
Cite
@article{arxiv.2210.11304,
title = {Maximal amenable subgroups of arithmetic groups},
author = {Vadim Alekseev and Alessandro Carderi},
journal= {arXiv preprint arXiv:2210.11304},
year = {2022}
}
Comments
19 pages, comments welcome