arXiv Analytics

Sign in

arXiv:2301.12963 [math.DS]AbstractReferencesReviewsResources

On Sharp Bounds for the Dynamic Asymptotic Dimension

SJ Pilgrim

Published 2023-01-30Version 1

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.

Comments: 17 pages, comments welcome
Categories: math.DS, math.FA
Subjects: 37B05, 46L05
Related articles: Most relevant | Search more
arXiv:2011.07395 [math.DS] (Published 2020-11-14)
Dynamic Asymptotic Dimension of Translation Actions on Compact Lie Groups
arXiv:2307.07309 [math.DS] (Published 2023-07-14)
On the dynamic asymptotic dimension of étale groupoids
arXiv:1510.07769 [math.DS] (Published 2015-10-27)
Dynamic Asymptotic Dimension: relation to dynamics, topology, coarse geometry, and $C^*$-algebras

Links

Toolbox