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arXiv · 1609.09452

Free orbits for minimal actions on the circle

Joaquín Brum·Matilde Martínez·Rafael Potrie
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Abstract

We prove that if $Γ$ is a countable group without a subgroup isomorphic to $\mathbb{Z}^2$ that acts faithfully and minimally by orientation preserving homeomorphisms on the circle, then it has a free orbit. We give examples showing that this does not hold for actions by homeomorphisms of the line.

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Joaquín Brum, Matilde Martínez, Rafael Potrie. 2016-09-29. Free orbits for minimal actions on the circle. https://arxiv.org/abs/1609.09452

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