Characterization of centralizers on nest subalgebras of von Neumann algebras by local action

DOI10.1080/03081087.2015.1042830zbMath1337.47108OpenAlexW2283179682MaRDI QIDQ2787603

Lei Liu

Publication date: 4 March 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1042830

zbMATH Keywords

centralizerslocal actionnest subalgebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Derivations, actions of Lie algebras (16W25) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Nest algebras, CSL algebras (47L35)

Related Items (4)

Characterizing linear maps of standard operator algebras through orthogonality ⋮ Lie centralizers at zero products on a class of operator algebras ⋮ Characterizations of Lie centralizers of triangular algebras ⋮ Ternary derivations of nest algebras

Cites Work

• Characterizing centralizers and generalized derivations on triangular algebras by acting on zero product
• Nest-subalgebras of von Neumann algebras
• Centralizers of \(\mathcal J\)-subspace lattice algebras
• Local derivations
• On centralizers of standard operator algebras and semisimple \(H^*\)-algebras
• Multipliers of C -algebras
• Centralizers and Jordan derivations for CSL subalgebras of von Neumann algebras
• Characterizing homomorphisms, derivations and multipliers in rings with idempotents

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