A New Group Algebra for Locally Compact Groups

DOI10.2307/2373020zbMath0211.15402OpenAlexW2327785521MaRDI QIDQ5612086

John Ernest

Publication date: 1964

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373020

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Measure algebras on groups, semigroups, etc. (43A10) Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis (43-02)

Related Items (12)

Uniformly Continuous Functionals on the Fourier Algebra of Any Locally Compact Group ⋮ Group duality and isomorphisms of Fourier and Fourier-Stieltjes algebras from a 𝑊*-algebra point of view ⋮ Notes on the duality theorem of non-commutative non-compact topological groups ⋮ Jordan structures in harmonic functions and Fourier algebras on homogeneous spaces ⋮ Geometry of the Fourier algebras and locally compact groups with atomic unitary representations ⋮ Duality between compactness and discreteness beyond Pontryagin duality ⋮ Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras ⋮ A generalization to the non-separable case of Takesaki's duality theorem for \(C^*\)-algebras ⋮ The enveloping algebra of a covariant system ⋮ A criterion for a topological group to admit a continuous embedding in a locally compact group ⋮ \(W^*\)-algebras and nonabelian harmonic analysis ⋮ A duality between locally compact groups and certain Banach algebras

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