Topological full groups of line-like minimal group actions are amenable

Abstract

We consider a finitely generated group acting minimally on a compact space by homeomorphsims, and assume that the Schreier graph of at least one orbit is quasi-isometric to a line. We show that the topological full group of such an action is amenable.

15 pages

References in corpus (1)

• Extensions of amenable groups by recurrent groupoids