Character rigidity for special linear groups
Functional Analysis
2014-02-05 v3 Dynamical Systems
Group Theory
Operator Algebras
Abstract
In this paper we study characters on special linear groups SL_n(R), where R is either an infinite field or the localization of an order in a number field. We give several applications to the theory of measure preserving actions, operator-algebraic superrigidity, and almost homomorphisms.
Cite
@article{arxiv.1303.4007,
title = {Character rigidity for special linear groups},
author = {Jesse Peterson and Andreas Thom},
journal= {arXiv preprint arXiv:1303.4007},
year = {2014}
}
Comments
29 pages, no figures; v2 included Theorem 4.9, included more introductory remarks; v3 final version, to appear in Crelle's Journal