On topological full groups of Z^d-actions

Abstract

We give new examples of simple finitely generated groups arising from actions of free abelian groups on the Cantor sets. As particular examples, we discuss groups of interval exchange transformations, and a group naturally associated with the Penrose tilings. Many groups in this class are amenable.

References in corpus (1)

• Extensions of amenable groups by recurrent groupoids

Cited by in corpus (1)

• On rigid stabilizers and invariant random subgroups of groups of homeomorphisms