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arXiv · 2110.01068

Continuum of allosteric actions for non-amenable surface groups

Matthieu Joseph
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Abstract

Let $\Sigma$ 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 $\Sigma$, that are topologically free but not essentially free, a property that we call allostery. Moreover, the IRS's we obtain are pairwise distincts.

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Matthieu Joseph. 2021-10-03. Continuum of allosteric actions for non-amenable surface groups. https://doi.org/10.1017/etds.2023.52

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