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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2101.00437 |
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| _version_ | 1866909530427752448 |
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| author | Bader, Uri Taller, Aviv |
| author_facet | Bader, Uri Taller, Aviv |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_00437 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Balanced Measures on Compact Median Algebras Bader, Uri Taller, Aviv General Topology Functional Analysis 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. |
| title | Balanced Measures on Compact Median Algebras |
| topic | General Topology Functional Analysis |
| url | https://arxiv.org/abs/2101.00437 |