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Uniformly recurrent subgroups and rigidity of non-free minimal actions

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NPC - Non-positive curvature group actions and cohomology

A uniformly recurrent subgroup is a closed minimal invariant subset in the Chabauty space of a group. After explaining the relationship between uniformly recurrent subgroups and stabilisers of minimal actions on compact spaces, I will illustrate some examples in which a lack of uniformly recurrent subgroups leads to rigidity phenomena for non-free minimal actions.   (Joint works with Adrien Le Boudec and Todor Tsankov)



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