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.
1
Technion - Israel Institute of Technology, Haifa, Israel
2
The Weizmann Institute of Science, Rehovot, Israel
Uri Bader; Tsachik Gelander. Equicontinuous actions of semisimple groups. Groups, geometry, and dynamics, Tome 11 (2017) no. 3, pp. 1003-1039. doi: 10.4171/ggd/420
@article{10_4171_ggd_420,
author = {Uri Bader and Tsachik Gelander},
title = {Equicontinuous actions of semisimple groups},
journal = {Groups, geometry, and dynamics},
pages = {1003--1039},
year = {2017},
volume = {11},
number = {3},
doi = {10.4171/ggd/420},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/420/}
}
TY - JOUR
AU - Uri Bader
AU - Tsachik Gelander
TI - Equicontinuous actions of semisimple groups
JO - Groups, geometry, and dynamics
PY - 2017
SP - 1003
EP - 1039
VL - 11
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/420/
DO - 10.4171/ggd/420
ID - 10_4171_ggd_420
ER -
%0 Journal Article
%A Uri Bader
%A Tsachik Gelander
%T Equicontinuous actions of semisimple groups
%J Groups, geometry, and dynamics
%D 2017
%P 1003-1039
%V 11
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/420/
%R 10.4171/ggd/420
%F 10_4171_ggd_420
