A note on the \({\mathcal WAP}\)-compactification and the \({\mathcal LUC}\)-compactification of a topological group

DOI10.1007/s00233-003-0026-8zbMath1057.22002OpenAlexW2144131218MaRDI QIDQ1882671

Publication date: 1 October 2004

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-003-0026-8

zbMATH Keywords

weakly almost periodic functions SIN groups semigroup compactification greatest ambit IN groups WAP compactification

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological dynamics (37B99) Transformation groups and semigroups (topological aspects) (54H15) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (7)

Algebraic structure of semigroup compactifications: Pym's and Veech's theorems and strongly prime points ⋮ On the topological centre of the algebra \(\mathrm{LUC}({\mathcal G})^*\) for general topological groups ⋮ A Connes-amenable, dual Banach algebra need not have a normal, virtual diagonal ⋮ Banach algebras on semigroups and on their compactifications ⋮ On the actions of a locally compact group on some of its semigroup compactifications ⋮ Locally Roelcke precompact Polish groups ⋮ Erratum to “A Connes-amenable, dual Banach algebra need not have a normal, virtual diagonal”

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