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arXiv · 1408.4217

Equicontinuous actions of semisimple groups

Uri Bader·Tsachik Gelander
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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.

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Uri Bader, Tsachik Gelander. 2014-08-19. Equicontinuous actions of semisimple groups. https://arxiv.org/abs/1408.4217

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