On the topological centre problem for weighted convolution algebras and semigroup compactifications

DOI10.1090/S0002-9939-08-08908-9zbMath1149.22007arXivmath/0201081OpenAlexW2085270715MaRDI QIDQ5448949

Matthias Neufang

Publication date: 10 March 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201081

zbMATH Keywords

Banach algebraweight functiongroup algebrafactorisationtopological centresBanach dualArens' products

Mathematics Subject Classification ID

Automatic continuity (46H40) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Group algebras of locally compact groups (22D15) Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (8)

One-sided ideals and right cancellation in the second dual of the group algebra and similar algebras ⋮ Arens regularity for totally ordered semigroups ⋮ On the topological centre of the algebra \(\mathrm{LUC}({\mathcal G})^*\) for general topological groups ⋮ Banach algebras on semigroups and on their compactifications ⋮ Solution to a conjecture by Hofmeier-Wittstock ⋮ Non-weakly amenable Beurling algebras ⋮ Topological centres of weighted convolution algebras ⋮ Norm-multiplicative homomorphisms of Beurling algebras

Cites Work

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• Locally Compact Groups, Invariant Means and the Centres of Compactifications
• Topological centers of certain dual algebras
• The second duals of Beurling algebras

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