Article ID Journal Published Year Pages File Type
4603467 Linear Algebra and its Applications 2008 13 Pages PDF
Abstract

In this paper, we prove that every bijective map preserving Lie products from a factor von Neumann algebra M into another factor von Neumann algebra N is of the form A→ψ(A)+ξ(A), where ψ:M→N is an additive isomorphism or the negative of an additive anti-isomorphism and ξ:M→CI is a map with ξ(AB-BA)=0 for all A,B∈M.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory