The first cohomology group and weak amenability of a Morita context Banach algebra

DOI10.1007/S40574-022-00320-0OpenAlexW4225714342MaRDI QIDQ2087721

Hamid Reza Ebrahimi Vishki, Sedigheh Barootkoob, Hosein Lakzian

Publication date: 21 October 2022

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-022-00320-0

zbMATH Keywords

first cohomology groupArens productmodule extension Banach algebra\(n\)-weak amenabilitytriangular Banach algebraMorita context algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Commutators, derivations, elementary operators, etc. (47B47) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Other algebras built from modules (15A78)

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Cites Work

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• \(2m\)-weak amenability of group algebras
• Commuting mappings of generalized matrix algebras
• Semi-centralizing maps of generalized matrix algebras
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• Constructions preserving $n$-weak amenability of Banach algebras
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• Amenable Banach Algebras
• Derivations of triangular Banach algebras
• Arens regularity of module actions
• The second duals of Beurling algebras
• The Adjoint of a Bilinear Operation

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