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arXiv · 1807.01667

Equicontinuity of minimal sets for amenable group actions on dendrites

Enhui Shi·Xiangdong Ye
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Abstract

In this note, we show that if $G$ is an amenable group acting on a dendrite $X$, then the restriction of $G$ to any minimal set $K$ is equicontinuous, and $K$ is either finite or homeomorphic to the Cantor set.

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Enhui Shi, Xiangdong Ye. 2018-07-04. Equicontinuity of minimal sets for amenable group actions on dendrites. https://arxiv.org/abs/1807.01667

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