Conditions for the spatial flatness and spatial injectivity of an indecomposable CSL algebra of finite width

DOI10.1007/BF02316138zbMath0915.47034WikidataQ122484986 ScholiaQ122484986MaRDI QIDQ1272025

Yu. O. Golovin

Publication date: 9 March 1999

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

zbMATH Keywords

injectivitygeometric propertiesvon Neumann algebraflatnesscohomology groupCSL algebranest algebrainjective modulereflexive algebraflat modulehomological propertieslattice of subspaces of a Hilbert space

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (1)

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Cites Work

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• Reflexive algebras with finite width lattices: Tensor products, cohomology, compact perturbations
• Cohomologies of operator algebras
• Operator algebras and invariant subspaces
• Derivations of nest algebras
• Cohomology of some non-selfadjoint operator algebras.
• Cohomology and Perturbations of Nest Algebras
• Strongly Reflexive Lattices
• Cohomology for Operator Algebras: Joins
• Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations

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