English

On the dynamical asymptotic dimension of a free $\mathbb Z^d$-action on the Cantor set

Operator Algebras 2020-08-11 v1 Dynamical Systems

Abstract

Consider an arbitrary extension of a free Zd\mathbb Z^d-action on the Cantor set. It is shown that it has dynamical asymptotic dimension at most 3d13^d - 1.

Keywords

Cite

@article{arxiv.2008.03362,
  title  = {On the dynamical asymptotic dimension of a free $\mathbb Z^d$-action on the Cantor set},
  author = {Zhuang Niu and Xiaokun Zhou},
  journal= {arXiv preprint arXiv:2008.03362},
  year   = {2020}
}