Spectral Synthesis and Operator Synthesis for Compact Groups

DOI10.1112/S0024610702003356zbMath1015.43007OpenAlexW2110786407MaRDI QIDQ3151157

Lyudmyla Turowska, Nico Spronk

Publication date: 22 October 2002

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610702003356

zbMATH Keywords

\(C^*\)-algebraHaagerup tensor productspectral synthesiscompact groupFourier algebraoperator synthesis

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Operator spaces (= matricially normed spaces) (47L25) Spectral synthesis on groups, semigroups, etc. (43A45) Means on groups, semigroups, etc.; amenable groups (43A07) Harmonic analysis on general compact groups (43A77)

Related Items (15)

On the connection between sets of operator synthesis and sets of spectral synthesis for locally compact groups ⋮ Operator synthesis. I: Synthetic sets, bilattices and tensor algebras ⋮ On character amenability of the Fourier algebra ⋮ Closable multipliers ⋮ Synthetic properties of locally compact groups: preservation and transference ⋮ Fourier algebras on homogeneous spaces ⋮ Ranges of bimodule projections and reflexivity ⋮ Completely bounded bimodule maps and spectral synthesis ⋮ Malliavin's theorem for weak synthesis on nonabelian groups ⋮ Beurling-Fourier algebras on compact groups: Spectral theory ⋮ Spectral synthesis in the Fourier algebra and the Varopoulos algebra ⋮ Operator synthesis and tensor products ⋮ Ideals of \(A(G)\) and bimodules over maximal abelian selfadjoint algebras ⋮ On synthetic and transference properties of group homomorphisms ⋮ Sets of multiplicity and closable multipliers on group algebras

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