On Sharp Bounds for the Dynamic Asymptotic Dimension
Dynamical Systems
2023-01-31 v1 Functional Analysis
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.
Cite
@article{arxiv.2301.12963,
title = {On Sharp Bounds for the Dynamic Asymptotic Dimension},
author = {SJ Pilgrim},
journal= {arXiv preprint arXiv:2301.12963},
year = {2023}
}
Comments
17 pages, comments welcome