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Fair amenability for semigroups

Citation

Deprez, J, Fair amenability for semigroups, Journal of Algebra, 459 pp. 350-375. ISSN 0021-8693 (2016) [Refereed Article]

Copyright Statement

Copyright 2016 Elsevier Inc.

DOI: doi:10.1016/j.jalgebra.2016.03.049

Abstract

A new flavour of amenability for discrete semigroups is proposed that generalises group amenability and follows from a Følner-type condition. Some examples are explored, to argue that this new notion better captures some essential ideas of amenability. A semigroup S is left fairly amenable if, and only if, it supports a mean m ∈ 𝓁(S)* satisfying m(𝑓) = m(s∗𝑓) whenever s∗𝑓 ∈ 𝓁(S), thus justifying the nomenclature "fairly amenable".

Item Details

Item Type:Refereed Article
Keywords:semigroups, amenability, measures, means, Følner conditions
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Algebra and Number Theory
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Deprez, J (Mr Joshua Deprez)
ID Code:115223
Year Published:2016
Deposited By:Mathematics and Physics
Deposited On:2017-03-10
Last Modified:2017-10-25
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