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Group actions on dendrites and curves

Abstract : We establish obstructions for groups to act by homeomorphisms on dendrites. For instance, lattices in higher rank simple Lie groups will always fix a point or a pair. The same holds for irreducible lattices in products of connected groups. Further results include a Tits alternative and a description of the topological dynamics. We briefly discuss to what extent our results hold for more general topological curves.
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https://hal.archives-ouvertes.fr/hal-01359816
Contributor : Bruno Duchesne Connect in order to contact the contributor
Submitted on : Monday, July 6, 2020 - 7:38:30 PM
Last modification on : Wednesday, November 3, 2021 - 4:47:23 AM

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Bruno Duchesne, Nicolas Monod. Group actions on dendrites and curves. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2018, 68 (5), pp.2277-2309. ⟨10.5802/aif.3209⟩. ⟨hal-01359816v2⟩

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