The automatic additivity of ξ-Lie derivations on von Neumann algebras

2013/02/16 by Zhaofang Bai, Bai, Zhaofang, Shuanping Du +3
Mathematics · Physics and Astronomy · #47B47 #47B49 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Homotopy and Cohomology in Algebraic Topology #Quantum Physics (quant-ph) #math.FA #msc:47B47 #msc:47B49 #quant-ph

paper · pdf · doi:10.48550/arxiv.1302.3927

12 pages

arxiv created 2013/02/16 · openalex publication_date 2013/02/16 · arxiv updated 2013/02/19 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

Let \mathcal M be a von Neumann algebra with no central summands of type I₁. It is shown that every nonlinear ξ-Lie derivation (ξ≠ 1) on \mathcal M is an additive derivation.

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