On the vanishing of \(H^ n(\mathcal A,\mathcal A^*)\) for certain \(C^*\)- algebras

DOI10.2140/pjm.1989.137.55zbMath0685.46044OpenAlexW1583453446MaRDI QIDQ1826081

Erik Christensen, Allan M. Sinclair

Publication date: 1989

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1989.137.55

zbMATH Keywords

tracesspacesbounded cyclic cohomology for a \(C^*\)-algebra with no boundedbounded cyclic cohomology for a \(C^*\)-algebra with no bounded tracesbounded Hochschild cohomology for a nuclear \(C^*\)-algebracertain classes of \(C^*\)-algebras with coefficients in the dualinjective von Neumann algebra with coefficients in the predualvanishing theorem of cohomology of a properly infinite or anvanishing theorem of cohomology of a properly infinite or an injective von Neumann algebra with coefficients in the predualvanishing theorems of the norm continuous cohomology groups forvanishing theorems of the norm continuous cohomology groups for certain classes of \(C^*\)-algebras with coefficients in the dual spaces

Mathematics Subject Classification ID

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

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Cyclic-type cohomology of strict inductive limits of Fréchet algebras ⋮ On the normal version of the simplicial cohomology of operator algebras ⋮ On the central Haagerup tensor product ⋮ On the homology theory of operator algebras ⋮ Foundations of an equivariant cohomology theory for Banach algebras. II ⋮ Unnamed Item ⋮ On the simplicial cohomology of Banach operator algebras ⋮ Excision in Banach simplicial and cyclic cohomology ⋮ Bounded Hochschild cohomology of Banach algebras with a matrix-like structure ⋮ Expression of the Normal Cohomology in Terms of “Ext”, and Some Applications

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