A separation property of positive definite functions on locally compact groups and applications to Fourier algebras

DOI10.1006/jfan.2000.3612zbMath0953.43002OpenAlexW2002892553MaRDI QIDQ1580800

Eberhard Kaniuth, Anthony To-Ming Lau

Publication date: 22 January 2001

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

Full work available at URL: https://semanticscholar.org/paper/42d84b1fb6dad1ea0f2703455ac56e34d9d530da

zbMATH Keywords

von Neumann algebraLie grouppositive definite functionamenableFourier algebraapproximate identityDitkin setseparation propertySIN-group

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Positive definite functions on groups, semigroups, etc. (43A35)

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Operator biflatness of the Fourier algebra and approximate indicators for subgroups, On hereditary properties of quantum group amenability, Harmonic operators: the dual perspective, Conditional expectations on \(CV_{p}(G)\). Applications, Ideals with bounded approximate identities in Fourier algebras., Best bounds for approximate identities in ideals of the Fourier algebra vanishing on subgroups, A bipolar property of subgroups and translation invariant closed convex subsets, Compact quantum subgroups and left invariant \(C^*\)-subalgebras of locally compact quantum groups, Amenability of Banach and C$^*$-algebras generated by unitary representations, Extension of positive definite functions from subgroups of nilpotent locally compact groups, On topological centre problems and SIN quantum groups, On the extremal rays of the cone of positive, positive definite functions, Extension and separation properties of positive definite functions on locally compact groups

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