Continuum of allosteric actions for non-amenable surface groups
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866909192989704192 |
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| author | Joseph, Matthieu |
| author_facet | Joseph, Matthieu |
| contents | Let $Σ$ be a closed surface other than the sphere, the torus, the projective plane or the Klein bottle. We construct a continuum of p.m.p. ergodic minimal profinite actions for the fundamental group of $Σ$, that are topologically free but not essentially free, a property that we call allostery. Moreover, the IRS's we obtain are pairwise distincts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_01068 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Continuum of allosteric actions for non-amenable surface groups Joseph, Matthieu Dynamical Systems Group Theory 37A15, 37B05, 20E08, 20E26, 20E15 Let $Σ$ be a closed surface other than the sphere, the torus, the projective plane or the Klein bottle. We construct a continuum of p.m.p. ergodic minimal profinite actions for the fundamental group of $Σ$, that are topologically free but not essentially free, a property that we call allostery. Moreover, the IRS's we obtain are pairwise distincts. |
| title | Continuum of allosteric actions for non-amenable surface groups |
| topic | Dynamical Systems Group Theory 37A15, 37B05, 20E08, 20E26, 20E15 |
| url | https://arxiv.org/abs/2110.01068 |