Operator biflatness of the Fourier algebra and approximate indicators for subgroups

DOI10.1016/S0022-1236(03)00169-1zbMath1052.22005arXivmath/0203290MaRDI QIDQ1876255

Volker Runde, Nico Spronk, Oleg Yu. Aristov

Publication date: 16 August 2004

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

Full work available at URL: https://arxiv.org/abs/math/0203290

zbMATH Keywords

Fourier algebraKazhdan's property (T)(quantized) Banach homologyApproximate indicatorBiflatnessLocally compact groups

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Operator spaces (= matricially normed spaces) (47L25) General properties and structure of complex Lie groups (22E10) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Dual spaces of operator algebras (47L50)

Related Items

On the operator homology of the Fourier algebra and its \(cb\)-multiplier completion, Conditional expectations on \(CV_{p}(G)\). Applications, Inner amenability and approximation properties of locally compact quantum groups, Weak separation properties for closed subgroups of locally compact groups, On module cohomology of the Fourier algebra of an inverse semigroup, GENERALIZED AMENABILITY PROPERTIES OF THE BEURLING ALGEBRAS, Mapping ideals of quantum group multipliers, Corrigendum to: ``Operator biflatness of the Fourier algebra and approximate indicators for subgroups, Operator space structure and amenability for Figà--Talamanca--Herz algebras, Completely bounded homomorphisms of the Fourier algebras, A Hilbert space approach to approximate diagonals for locally compact quantum groups

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