Weak and cyclic amenability for non-commutative Banach algebras

DOI10.1017/S0013091500005587zbMath0760.46043MaRDI QIDQ4024654

Niels Grønbæk

Publication date: 8 February 1993

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hochschild cohomologycyclic cohomologyweak amenabilitycyclic amenabilityBanach algebraic free product of two Banach algebrascohomological triviality for Banach algebras

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Structure, classification of topological algebras (46H20)

Related Items (15)

Zero Lie product determined Banach algebras. II. ⋮ Weak amenability for the second dual of Banach modules ⋮ Weak amenability of Banach algebras on locally compact groups ⋮ Amalgamated duplication of the Banach algebra 𝔄 along a 𝔄-bimodule 𝒜 ⋮ A NOTE ON CYCLIC AMENABILITY OF THE LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM ⋮ Diagonals of Lau product Banach algebras ⋮ Unnamed Item ⋮ Derivations into annihilators of the ideals of Banach algebras ⋮ Derivations into duals of ideals of Banach algebras ⋮ Weak and cyclic amenability for Fourier algebras of connected Lie groups ⋮ Higher Dimensional Cohomology of Weighted Sequence Algebras ⋮ Non-weakly amenable Beurling algebras ⋮ A Generalization of Cyclic Amenability of Banach Algebras ⋮ Unnamed Item ⋮ Weak amenability of module extensions of Banach algebras

Cites Work

• All nuclear C*-algebras are amenable
• Non-commutative differential geometry
• The Grothendieck inequality for bilinear forms on \(C^*\)-algebras
• Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology
• Amenability and Weak Amenability for Beurling and Lipschitz Algebras

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