The Second Conjugate Algebra of the Fourier Algebra of a Locally Compact Group

DOI10.2307/1998568zbMath0489.43006OpenAlexW4238150018MaRDI QIDQ3951022

Anthony To-Ming Lau

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998568

zbMATH Keywords

Arens productgroup C*-algebradouble dual of Fourier algebramaximal regular left ideals

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (23)

On the ideal structure of some Banach algebras related to convolution operators on \(L^{p}(G)\) ⋮ Weak amenability of Banach algebras on locally compact groups ⋮ Isomorphisms and multipliers on second dual algebras of Banach algebras ⋮ Dual Banach algebras associated to the coset space of a locally compact group ⋮ Involutions and trivolutions on second dual of algebras related to locally compact groups and topological semigroups ⋮ ON THE ALGEBRAS AND OF AN ULTRASPHERICAL HYPERGROUP ⋮ On invariant and natural projections ⋮ Module maps on duals of Banach algebras and topological centre problems ⋮ Unnamed Item ⋮ Compact and weakly compact multipliers on Fourier algebras of ultraspherical hypergroups ⋮ Compact and weakly compact multipliers of locally compact quantum groups ⋮ Some properties of \(LUC({\mathcal X},{\mathcal G})^*\) as a Banach left \(LUC({\mathcal G})^*\)-module ⋮ Weak amenability and the second dual of the Fourier algebra ⋮ Almost contractive maps between \(C^{\ast}\)-algebras with applications to Fourier algebras ⋮ Homomorphisms with small bound between Fourier algebras ⋮ On the density of the Fourier-Stieltjes algebra ⋮ Module homomorphisms and topological centres associated with weakly sequentially complete Banach algebras ⋮ Finite-dimensional left ideals in the duals of introverted spaces ⋮ On the structure of ideals and multipliers: A unified approach ⋮ Banach algebra structure and amenability of a class of matrix algebras with applications ⋮ SOME HOMOLOGICAL PROPERTIES OF FOURIER ALGEBRAS ON HOMOGENEOUS SPACES ⋮ Ergodic sequences in the Fourier-Stieltjes algebra and measure algebra of a locally compact group ⋮ Duals and topological center of a class of matrix algebras with applications

Cites Work

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• Derivations of simple \(C^ *\)-algebras. III
• \(W^*\)-algebras and nonabelian harmonic analysis
• The second conjugate space of a Banach algebra as an algebra
• Isometries of operator algebras
• Uniformly Continuous Functionals on the Fourier Algebra of Any Locally Compact Group
• Weakly Almost Periodic and Uniformly Continuous Functionals on the Fourier Algebra of any Locally Compact Group
• L'algèbre de Fourier d'un groupe localement compact
• Ideals in the Second Conjugate Algebra of a Group Algebra.
• Invariant Means on a Class of Von Neumann Algebras
• The Adjoint of a Bilinear Operation

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