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arXiv · 2101.02042

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

Nóra Gabriella Szőke
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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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Nóra Gabriella Szőke. 2021-01-06. Topological full groups of line-like minimal group actions are amenable. https://arxiv.org/abs/2101.02042

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