Group actions on dendrites and curves
Dynamical Systems
2021-04-21 v3 Group Theory
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.
Cite
@article{arxiv.1609.00303,
title = {Group actions on dendrites and curves},
author = {Bruno Duchesne and Nicolas Monod},
journal= {arXiv preprint arXiv:1609.00303},
year = {2021}
}
Comments
minor additions to v2