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arXiv · 2301.12963

On Sharp Bounds for the Dynamic Asymptotic Dimension

SJ Pilgrim
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Abstract

We prove the dynamic asymptotic dimension of a free isometric action on a space of finite doubling dimension is either infinite or equal to the asymptotic dimension of the acting group; and give a full description of the dynamic asymptotic dimension of translation actions on compact Lie groups in terms of the amenability and asymptotic dimension of the acting group.

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SJ Pilgrim. 2023-01-30. On Sharp Bounds for the Dynamic Asymptotic Dimension. https://arxiv.org/abs/2301.12963

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