An exotic group as limit of finite special linear groups
Group Theory
2017-05-30 v3 Functional Analysis
Abstract
We consider the Polish group obtained as the rank-completion of an inductive limit of finite special linear groups. This Polish group is topologically simple modulo its center, it is extremely amenable and has no non-trivial strongly continuous unitary representation on a Hilbert space.
Keywords
Cite
@article{arxiv.1603.00691,
title = {An exotic group as limit of finite special linear groups},
author = {Alessandro Carderi and Andreas Thom},
journal= {arXiv preprint arXiv:1603.00691},
year = {2017}
}
Comments
Final version, accepted for publication in Annales de l'Institut Fourier. Improved exposition following the remarks of the unknown referee