Characterizing \(\xi\)-Lie multiplicative isomorphisms on von Neumann algebras
type: Item
instance of: scholarly article
title: Characterizing \(\xi\)-Lie multiplicative isomorphisms on von Neumann algebras
zbMATH Open document ID: 1469.46049
DOI: 10.1155/2014/104272
author: Yamin Song
author: Jinchuan Hou
author: Qi Xiaofei
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 46L10
zbMATH DE Number: 7021742
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/104272
OpenAlex ID: W2079056700
Wikidata QID: Q59035227
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description: scientific article; zbMATH DE number 7021742