A note on commutators in algebras of unbounded operators

DOI10.1016/j.exmath.2020.01.004zbMath1457.46061arXiv1901.10711OpenAlexW3004911475MaRDI QIDQ2196497

Zhe Liu, Richard V. Kadison, Andreas Thom

Publication date: 2 September 2020

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10711

zbMATH Keywords

von Neumann algebrascommutatorsrings of operators

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) Commutators, derivations, elementary operators, etc. (47B47) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items (6)

Cohomology of Jordan triples via Lie algebras ⋮ Notes on derivations of Murray-von Neumann algebras ⋮ Unbounded weighted conditional type operators on Orlicz spaces ⋮ Non-existence of translation-invariant derivations on algebras of measurable functions ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ A note on commutation relations and finite dimensional approximations

Cites Work

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• On single commutators in II$_{1}$–factors
• Note on Wigner's Theorem on Symmetry Operations
• Commutators in Factors of Type III
• Commutators in Properly Infinite Von Neumann Algebras
• The Unboundedness of Quantum-Mechanical Matrices
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