Ideal structure of Beurling algebras on [FC]-groups

DOI10.1016/0022-1236(83)90026-5zbMath0529.43005OpenAlexW2020069935MaRDI QIDQ787423

Ajay Kumar, Eberhard Kaniuth, Wilfried Hauenschild

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90026-5

zbMATH Keywords

weightBeurling algebraWiener propertyFC group

Mathematics Subject Classification ID

General theory of topological algebras with involution (46K05) Spectral synthesis on groups, semigroups, etc. (43A45) Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (9)

On topological Frobenius reciprocity for locally compact groups ⋮ Compactness in dual spaces of locally compact groups and tensor products of irreducible representations ⋮ Harmonic analysis and spectral synthesis in central hypergroups ⋮ Some Beurling–Fourier algebras on compact groups are operator algebras ⋮ Beurling-Fourier algebras, operator amenability and Arens regularity ⋮ Non-weakly amenable Beurling algebras ⋮ *-regularity and uniqueness of \(C^*\)-norm for tensor products of *- algebras ⋮ IDEALS IN OPERATOR SPACE PROJECTIVE TENSOR PRODUCT OF C^*-ALGEBRAS ⋮ Spectral synthesis and topologies on ideal spaces for Banach \(^{*}\)-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Polynomial growth and ideals in group algebras
• Harmonic analysis based on certain commutative Banach algebras
• Unitary representations of group extensions. I
• An elementary proof of a fundamental theorem in the theory of Banach algebras
• Opérateurs de rang fini dans les représentations unitaires
• The injection and the projection theorem for spectral sets
• Operators of finite rank in unitary representations of exponential Lie groups
• On primary ideals in group algebras
• Representations of \(AF\)-algebras and of the group \(U(\infty)\)
• Räume primitiver Ideale in Gruppenalgebren
• Harmonic analysis and centers of Beurling algebras
• Ditkin's condition and primary ideals in central Beurling algebras
• Primitive ideal spaces of groups with relatively compact conjugacy classes
• Multiplier representations of Abelian groups
• Ideal and representation theory of the $L^1$-algebra of a group with polynomial growth
• Dual Spaces of Groups with Precompact Conjugacy Classes
• A note on the structure of Moore groups
• Compactness conditions in topological groups.
• Harmonic Analysis on Central Topological Groups
• Groups with Finite Dimensional Irreducible Representations

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