On non-zero values of the central homological dimension of C*-algebras

DOI10.1017/S0017089500008971zbMath0895.46037OpenAlexW2012935577MaRDI QIDQ4016253

Zinaida A. Lykova

Publication date: 16 December 1992

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500008971

zbMATH Keywords

irreducible representationcontinuous tracetopological homologyCCR-algebraBanach Hochschild cohomologycentral bidimension of \(C^*\)-algebrascentrally biprojectiveglobal central homological dimensionstructure of \(C^*\)-algebras with central bidimension zero

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (2)

Unnamed Item ⋮ Examples of banach algebras over commutativebanach algebras of given homological dimension

Cites Work

• Homology and cohomology for topological algebras
• Induced Banach representations of Banach algebras and locally compact groups
• The torsion product of modules over Banach algebras
• Central Cohomology of C^∗ -Algebras
• Perturbations of C^* -Algebras, II
• Cohomology in Banach algebras

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