JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (7): 32-37.doi: 10.6040/j.issn.1671-9352.0.2020.100

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A characterization of ξ-skew Jordan derivable mappings on factor von Neumann algebras

ZHANG Fang-juan   

  1. School of Science, Xian University of Posts and Telecommunications, Xian 710121, Shaanxi, China
  • Published:2020-07-08

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Abstract: Let R be a factor von Neumann algebra with dim R>1. For given complex number ξ and ξ ≠0, if a map δ:R→R satisfies δ((A·B)ξ)=(δ(A)·B)ξ+(A·δ(B))ξ for all A,B∈R, δ is an additive *-derivation and δ(ξA)=ξδ(A). In particular, if the von Neumann algebra R is infinite type Ⅰ factors, a concrete characterization of δ is given.

Key words: ξ-skew Jordan derivable mapping, von Neumann algebra, *-derivation

CLC Number: 

  • O177.1
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