Applications of operator spaces to abstract harmonic analysis.

DOI10.1016/S0723-0869(04)80013-6zbMath1076.43002arXivmath/0308169OpenAlexW2039177285MaRDI QIDQ2571091

Volker Runde

Publication date: 3 November 2005

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308169

zbMATH Keywords

Hochschild cohomologygroup algebralocally compact groupsFourier algebraFourier-Stieltjes algebraoperator spacescolumn spaceFigà-Talamanca-Herz algebrastopological homologyquantized Banach algebras

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Operator spaces (= matricially normed spaces) (47L25) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Structure, classification of topological algebras (46H20) Means on groups, semigroups, etc.; amenable groups (43A07) Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis (43-02)

Related Items (4)

Cohen-Host type idempotent theorems for representations on Banach spaces and applications to Figà-Talamanca-Herz algebras ⋮ Extension of Fourier algebra homomorphisms to duals of algebras of uniformly continuous functionals ⋮ On the homological and algebraical properties of some Feichtinger algebras ⋮ Homomorphisms of Fourier–Stieltjes algebras

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