A global dimension theorem for quantized Banach algebras

DOI10.1090/S0077-1554-09-00174-5zbMath1206.46061MaRDI QIDQ3057483

N. V. Volosova

Publication date: 24 November 2010

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

zbMATH Keywords

homological dimensionsglobal dimension theoremcommutative quantized algebra

Mathematics Subject Classification ID

Ideals, maximal ideals, boundaries (46J20) General theory of topological algebras (46H05) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Convex sets and cones of operators (47L07)

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Exact structures for operator modules

Cites Work

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• Every completely polynomially bounded operator is similar to a contraction
• Projective modules in classical and quantum functional analysis
• A completely bounded characterization of operator algebras
• Quantum versions of vector duality and the exponential law in the framework of the non-matrix approach
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• A polynomially bounded operator on Hilbert space which is not similar to a contraction
• ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
• The Operator Amenability of A(G)
• Lower bounds for homological dimensions of Banach algebras
• Cohomology in Banach algebras
• Cohomology Groups of Commutative Banach Algebras
• On Linear Transformations