Additive maps related to Lie structure on factor von Neumann algebras
摘要
In this paper, we characterize additive Lie n-centralizers on factor von Neumann algebras at zero product as well as at projection product and show that is in proper form. Based on this result, a complete characterization of additive Lie n-centralizer maps on factor von Neumann algebras is obtained. As an application of our results, we characterize generalized Lie n-derivations, which generalize some known results.