Orderable groups and semigroup compactifications
Dynamical Systems
2022-09-29 v4 Functional Analysis
General Topology
Group Theory
Abstract
Our aim is to find some new links between linear (circular) orderability of groups and topological dynamics. We suggest natural analogs of the concept of algebraic orderability for topological groups involving order-preserving actions on compact spaces and the corresponding enveloping semigroups in the sense of R. Ellis. This approach leads to several natural questions. Some of them might be useful also for discrete (countable) orderable groups.
Cite
@article{arxiv.2112.14615,
title = {Orderable groups and semigroup compactifications},
author = {Michael Megrelishvili},
journal= {arXiv preprint arXiv:2112.14615},
year = {2022}
}
Comments
to appear in Monatsch. Math