Orderable groups and semigroup compactifications

Michael Megrelishvili

doi:10.1007/s00605-022-01787-x

Orderable groups and semigroup compactifications

Michael Megrelishvili

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	903-932
Number of pages	30
Journal	Monatshefte fur Mathematik
Volume	200
Issue number	4
DOIs	https://doi.org/10.1007/s00605-022-01787-x
State	Published - Apr 2023

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature.

Funding

This research was supported by a grant of the Israel Science Foundation (ISF 1194/19) and also by the Gelbart Research Institute at the Department of Mathematics, Bar-Ilan University.

Funders	Funder number
Gelbart Research Institute at the Department of Mathematics, Bar-Ilan University
Israel Science Foundation	ISF 1194/19

Keywords

Circular order
Circular topology
Enveloping semigroup
Lexicographic order
Ordered group

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10.1007/s00605-022-01787-x

Cite this

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Orderable groups and semigroup compactifications

Abstract

Bibliographical note

Funding

Keywords

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