A generalized type semigroup and dynamical comparison
Dynamical Systems
2021-07-01 v4 Operator Algebras
Abstract
In this paper, we construct a semigroup associated to an action of countable discrete group on a compact Hausdorff space, that can be regarded as a higher dimensional generalization of the type semigroup. Using this generalized type semigroup we obtain a new characterization of dynamical comparison. This answers a question of Kerr and Schafhauser. In addition, this paper suggests a definition of comparison for dynamical systems in which neither necessarily the acting group is amenable nor the action is minimal.
Cite
@article{arxiv.1902.06046,
title = {A generalized type semigroup and dynamical comparison},
author = {Xin Ma},
journal= {arXiv preprint arXiv:1902.06046},
year = {2021}
}