Bounded Hochschild cohomology of Banach algebras with a matrix-like structure

DOI10.1090/S0002-9947-06-03913-4zbMath1097.46048arXivmath/0311529OpenAlexW1824086976MaRDI QIDQ3373726

Niels Grønbæk

Publication date: 8 March 2006

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

Full work available at URL: https://arxiv.org/abs/math/0311529

zbMATH Keywords

weak amenabilitybounded Hochschild cohomology(strongly) H-unitalitysimplicial triviality

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Linear operators defined by compactness properties (47B07) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Structure, classification of topological algebras (46H20) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items

Zero Lie product determined Banach algebras. II., On the simplicial cohomology of Banach operator algebras, Morita equivalence of Brandt semigroup algebras

Cites Work

• On the weak amenability of \(\mathcal A(X)\) and its relation with the approximation property.
• On the vanishing of \(H^ n(\mathcal A,\mathcal A^*)\) for certain \(C^*\)- algebras
• Amenability of Weighted Convolution Algebras on Locally Compact Groups
• Weak Amenability of A (E ) and the Geometry of E
• Cohomology of operator algebras. III : reduction to normal cohomology
• Cohomology in Banach algebras
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