Local Lie derivations of factor von Neumann algebras
Autor: | Dan Liu, Jian-Hua Zhang |
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Rok vydání: | 2017 |
Předmět: |
Numerical Analysis
Pure mathematics Algebra and Number Theory Mathematics::Operator Algebras 010102 general mathematics 010103 numerical & computational mathematics Killing form 01 natural sciences Lie conformal algebra Graded Lie algebra Adjoint representation of a Lie algebra Lie coalgebra symbols.namesake Representation of a Lie group Von Neumann algebra symbols Discrete Mathematics and Combinatorics Geometry and Topology 0101 mathematics Abelian von Neumann algebra Mathematics |
Zdroj: | Linear Algebra and its Applications. 519:208-218 |
ISSN: | 0024-3795 |
DOI: | 10.1016/j.laa.2017.01.004 |
Popis: | Let A be a factor von Neumann algebra acting on a complex Hilbert space H with dim ( A ) ≥ 2 . We show that each local Lie derivation from A into itself is a Lie derivation. |
Databáze: | OpenAIRE |
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