Characterizing \(\xi\)-Lie multiplicative isomorphisms on von Neumann algebras
Summary: Let \(\mathcal{M}\) and \(\mathcal{N}\) be von Neumann algebras without central summands of type \(I_1\). Assume that \(\xi \in \mathbb C\) with \(\xi \neq 1\). In this paper, all maps \(\Phi : \mathcal{M} \rightarrow \mathcal{N}\) satisfying \(\Phi \left(A B - \xi B A\right) = \Phi \left(A\right) \Phi \left(B\right) - \xi \Phi \left(B\right) \Phi(A)\) are characterized.
scientific article; zbMATH DE number 7021742
scientific article