Derivations of von Neumann algebras into the compact ideal space of a semifinite algebra

DOI10.1215/S0012-7094-88-05722-5zbMath0673.46042MaRDI QIDQ1120799

Sorin Popa, Florin Rădulescu

Publication date: 1988

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

zbMATH Keywords

inner derivationfinite type I von Neumann algebrasemifinite von Neumannvon Neumann algebra with no finite type I summands

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Automorphisms of selfadjoint operator algebras (46L40)

Related Items

Derivations with values in noncommutative symmetric spaces ⋮ SMOOTH BIMODULES AND COHOMOLOGY OF II₁ FACTORS ⋮ Commutator estimates in \(W\)*-algebras ⋮ A Note on Compact Ideal Perturbations in Semifinite von Neumann Algebras ⋮ Derivations with values in ideals of semifinite von Neumann algebras ⋮ M-embedded symmetric operator spaces and the derivation problem ⋮ The relative dixmier property for inclusions of von Neuman algebras of finite index ⋮ Commutator estimates in $W^{*}$-factors ⋮ The Haagerup Property for Discrete Measured Groupoids ⋮ Derivations with values in the ideal of \(\tau\)-compact operators affiliated with a semifinite von Neumann algebra

Cites Work

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• Singular maximal Abelian *-subalgebras in continuous von Neumann algebras
• Compact derivations relative to semifinite von Neumann algebras
• The commutant modulo the set of compact operators of a von Neumann algebra
• On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors
• Operators commuting with a von Neumann algebra modulo the set of compact operators
• Conditional expectation in an operator algebra
• On rings of operators. IV
• Cohomology of operator algebras. III : reduction to normal cohomology