| Résume | To every homeomorphism of the Cantor set, we associate a group of homeomorphisms of the real line. It is defined by an action on the mapping torus of the dynamical system which preserve each orbit of the suspension flow. I will explain how this produces a class of finitely generated simple groups of homeomorphisms of the real line, and investigate further properties of this construction.
This is a joint work with Michele Triestino. |
