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Fair amenability for semigroups
journal contributionposted on 2023-05-19, 03:01 authored by Deprez, J
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”.
Publication titleJournal of Algebra
Department/SchoolSchool of Natural Sciences
PublisherAcademic Press Inc Elsevier Science
Place of publication525 B St, Ste 1900, San Diego, USA, Ca, 92101-4495
Rights statementCopyright 2016 Elsevier Inc.