Sofic mean dimension
Dynamical Systems
2013-07-22 v2
Abstract
We introduce mean dimensions for continuous actions of countable sofic groups on compact metrizable spaces. These generalize the Gromov-Lindenstrauss-Weiss mean dimensions for actions of countable amenable groups, and are useful for distinguishing continuous actions of countable sofic groups with infinite entropy.
Keywords
Cite
@article{arxiv.1105.0140,
title = {Sofic mean dimension},
author = {Hanfeng Li},
journal= {arXiv preprint arXiv:1105.0140},
year = {2013}
}
Comments
40 pages. To appear in Adv. Math