Continuum of allosteric actions for non-amenable surface groups
Continuum d'actions allostériques pour les groupes de surfaces non-moyennables
Résumé
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.
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