Recapturing semigroup compactifications of a group from those of its closed normal subgroups

M. R. Miri and M. A. Pourabdollah

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-7

Abstract:

We know that if S is a subsemigroup of a semitopological semigroup T , and 𝔉 stands for one of the spaces 𝒜 𝒫 , 𝒲 𝒜 𝒫 , 𝒮 𝒜 𝒫 , 𝒟 or ℒ 𝒞 , and ( ϵ , T 𝔉 ) denotes the canonical 𝔉 -compactification of T , where T has the property that 𝔉 ( S ) = 𝔉 ( T ) | s , then ( ϵ | s , ϵ ( S ) ¯ ) is an 𝔉 -compactification of S . In this paper, we try to show the converse of this problem when T is a locally compact group and S is a closed normal subgroup of T . In this way we construct various semigroup compactifications of T from the same type compactifications of S .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:981360

DOI: 10.1155/S016117120000171X

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