Topological speedups of $\mathbb{Z}^d$-actions
Dynamical Systems
2021-03-04 v1
Abstract
We study minimal -Cantor systems and the relationship between their speedups, their collections of invariant Borel measures, their associated unital dimension groups, and their orbit equivalence classes. In the particular case of minimal -odometers, we show that their bounded speedups must again be odometers but, contrary to the 1-dimensional case, they need not be conjugate, or even isomorphic, to the original.
Cite
@article{arxiv.2103.02012,
title = {Topological speedups of $\mathbb{Z}^d$-actions},
author = {Aimee S. A. Johnson and David M. McClendon},
journal= {arXiv preprint arXiv:2103.02012},
year = {2021}
}
Comments
37 pages