Article contents
A generalized type semigroup and dynamical comparison
Published online by Cambridge University Press: 13 April 2020
Abstract
In this paper, we construct and study a semigroup associated to an action of a countable discrete group on a compact Hausdorff space that can be regarded as a higher dimensional generalization of the type semigroup. We study when this semigroup is almost unperforated. This leads to a new characterization of dynamical comparison and thus answers a question of Kerr and Schafhauser. In addition, this paper suggests a definition of comparison for dynamical systems in which neither the acting group is necessarily amenable nor the action is minimal.
MSC classification
- Type
- Original Article
- Information
- Copyright
- © The Author(s) 2020. Published by Cambridge University Press
References
- 2
- Cited by