A duality between locally compact groups and certain Banach algebras

DOI10.1016/0022-1236(74)90009-3zbMath0287.43008OpenAlexW2052674916MaRDI QIDQ1846200

Martin E. Walter

Publication date: 1974

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(74)90009-3

Mathematics Subject Classification ID

Duality theorems for locally compact groups (22D35) Character groups and dual objects (43A40) Structure and classification of commutative topological algebras (46J40)

Related Items

Fourier-Stieltjes algebras of locally compact groupoids, A sufficient condition for the complete reducibility of the regular representation, Characterisations of Fourier and Fourier-Stieltjes algebras on locally compact groups, The dual group of the Fourier-Stieltjes algebra, Groups with irreducibly unfaithful subsets for unitary representations, Generalised \(F\)-algebras as predual algebras of \( JBW ^\ast\)-triples and characterisations of the Fourier algebras on locally compact groups, A general Banach-Stone type theorem and applications

Cites Work

• A duality theorem for locally compact groups. I - IV
• \(W^*\)-algebras and nonabelian harmonic analysis
• Non-abelian Pontriagin duality
• A Characterization of Commutative Group Algebras and Measure Algebras
• L'algèbre de Fourier d'un groupe localement compact
• A Characterization of Group Algebras as a Converse of Tannaka-Stinespring-Tatsuuma Duality Theorem
• Group duality and isomorphisms of Fourier and Fourier-Stieltjes algebras from a 𝑊*-algebra point of view
• A New Group Algebra for Locally Compact Groups
• The dual group of the Fourier-Stieltjes algebra
• Extensions of positive-definite functions
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