Equicontinuous actions of semisimple groups
| Autor: | Uri Bader, Tsachik Gelander |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Transitive relation
Pure mathematics 010102 general mathematics Ergodicity General Topology (math.GN) Mathematics::General Topology Group Theory (math.GR) 22E46 54E15 Equicontinuity 01 natural sciences Action (physics) Matrix (mathematics) 0103 physical sciences Metric (mathematics) FOS: Mathematics Discrete Mathematics and Combinatorics Homomorphism 010307 mathematical physics Geometry and Topology 0101 mathematics Mathematics - Group Theory Mathematics - General Topology Mathematics |
| Zdroj: | Groups, Geometry, and Dynamics. 11:1003-1039 |
| ISSN: | 1661-7207 |
| DOI: | 10.4171/ggd/420 |
| Popis: | 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. 28 pages. The introduction has been improved. (We also extended the discussion about week topologies.) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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