Characterization of measures in the group \(C^*\)-algebra of a locally compact group

DOI10.1007/BF01446579zbMath0702.43003OpenAlexW2359351574MaRDI QIDQ915057

Martin Blümlinger

Publication date: 1991

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164788

zbMATH Keywords

Lie groupsFourier-Stieltjes transformlocally compact groupsFourier-Stieltjes algebrascontinuous measuresgroup \(C^ *\)- algebra

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (2)

Descriptive set-theoretic aspects of closed sets of uniqueness in the non-abelian setting ⋮ Sets of multiplicity and closable multipliers on group algebras

Cites Work

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• Fourier-Stieltjes coefficients and asymptotic distribution modulo 1
• Rajchman measures on compact groups
• Central measures on compact simple Lie groups
• Translation in measure algebras and the correspondence to Fourier transforms vanishing at infinity
• Helson sets in compact and locally compact groups
• Measure algebras on abelian groups
• Weak Containment and Induced Representations of Groups
• L'algèbre de Fourier d'un groupe localement compact
• On a problem of Steinhaus
• Les Fonctions De Type Positif et la Theorie Des Groupes

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