Balanced Measures on Compact Median Algebras
| Autor: | Uri Bader, Aviv Taller |
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| Rok vydání: | 2021 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2101.00437 |
| Popis: | We initiate a systematic investigation of group actions on compact medain algebras via the corresponding dynamics on their spaces of measures. We show that a probability measure which is invariant under a natural push forward operation must be a uniform measure on a cube and use this to show that every amenable group action on a locally convex compact median algebra fixed a sub-cube. Comment: 11 pages |
| Databáze: | OpenAIRE |
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