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

Published 6 Jan 2021 in math.GR | (2101.02042v1)

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.

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