On single commutators in II$_{1}$–factors

DOI10.1090/S0002-9939-2011-10953-5zbMath1273.47063arXiv1007.1701MaRDI QIDQ2880653

Anna Skripka, Kenneth J. Dykema

Publication date: 13 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1701

zbMATH Keywords

commutatorsII\(_{1}\)-factorselements of trace zero

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (6)

A note on commutators in algebras of unbounded operators ⋮ Trace and commutators of measurable operators affiliated to a von Neumann algebra ⋮ Nilpotent elements of operator ideals as single commutators ⋮ COMMUTATORS IN THE JIANG–SU ALGEBRA ⋮ A quantitative version of the commutator theorem for zero trace matrices ⋮ Geometry of word equations in simple algebraic groups over special fields

Cites Work

• On matrices of trace zero
• Some quasinilpotent generators of the hyperfinite \(\mathrm{II}_{1}\)-factor
• Commutators on \(\ell _1\)
• Sommes de commutateurs dans les algèbres de von Neumann finies continues
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Invariant subspaces of the quasinilpotent DT-operator
• Structure of commutators of operators
• Commutators and certain II\(_ 1\)-factors
• A reduction for algebras of finite type
• Commutators on ℓ_∞
• On a reduction procedure for Horn inequalities in finite von Neumann algebras
• The Steinitz constant of the plane.
• Spectral radius formulae
• Commutators in Factors of Type III
• Commutators in Properly Infinite Von Neumann Algebras
• Central Sequences and the Hyperfinite Factor
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