The dichotomy property of ${\rm SL}_2(R)$-A short note
Group Theory
2022-02-18 v1
Abstract
A recent paper by Polterovich, Shalom and Shem-Tov has shown that non-discrete, conjugation invariant norms on arithmetic Chevalley groups of higher rank give rise to very restricted topologies. Namely, such topologies always have profinite norm-completions. In this note, we sketch an argument showing that this also holds for for a ring of algebraic integers with infinitely many units.
Cite
@article{arxiv.2202.08319,
title = {The dichotomy property of ${\rm SL}_2(R)$-A short note},
author = {Alexander Alois Trost},
journal= {arXiv preprint arXiv:2202.08319},
year = {2022}
}