Equicontinuous actions of semisimple groups
Group Theory
2017-06-16 v4 General Topology
Abstract
We study equicontinuous actions of semisimple groups and some generalizations. We prove that any such action is universally closed, and in particular proper. We derive various applications, both old and new, including closedness of continuous homomorphisms, nonexistence of weaker topologies, metric ergodicity of transitive actions and vanishing of matrix coefficients for reflexive (more generally: WAP) representations.
Cite
@article{arxiv.1408.4217,
title = {Equicontinuous actions of semisimple groups},
author = {Uri Bader and Tsachik Gelander},
journal= {arXiv preprint arXiv:1408.4217},
year = {2017}
}
Comments
28 pages. The introduction has been improved. (We also extended the discussion about week topologies.)