Operator Amenability of the Fourier Algebra in the cb-Multiplier Norm

DOI10.4153/CJM-2007-041-9zbMath1136.43002arXivmath/0501092MaRDI QIDQ5438349

Volker Runde, Nico Spronk, Brian E. Forrest

Publication date: 23 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0501092

zbMATH Keywords

Fourier algebraweak amenabilityoperator amenabilitymultiplier norm

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Structure and classification of commutative topological algebras (46J40)

Related Items (8)

Completely compact Herz-Schur multipliers of dynamical systems ⋮ Harmonic operators: the dual perspective ⋮ On the operator homology of the Fourier algebra and its \(cb\)-multiplier completion ⋮ BSE-property for some certain Segal and Banach algebras ⋮ Amenability, weak amenability and bounded approximate identities in multipliers of the Fourier algebra ⋮ Inner amenability and approximation properties of locally compact quantum groups ⋮ Weak separation properties for closed subgroups of locally compact groups ⋮ Extending multipliers of the Fourier algebra from a subgroup

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