Title of article
Mappings Preserving Sum of Products a∘b−ba∗ on Factor von Neumann Algebras
Author/Authors
Ferreira ، João Carlos da Motta Center for Mathematics, Computation and Cognition Estados, 5001, 09210-580 Santo André, - Federal University of ABC , Marietto ، Maria das Graças Bruno Center for Mathematics, Computation and Cognition - Federal University of ABC
From page
679
To page
688
Abstract
Let A and B be two factor von Neumann algebras. In this paper, we proved that a bijective mapping Φ:A→B satisfies Φ(a∘b−ba∗)=Φ(a)∘Φ(b)−Φ(b)Φ(a)∗ (where ∘ is the special Jordan product on A and B, respectively), for all elements a,b∈A , if and only if Φ is a ∗ -ring isomorphism. In particular, if the von Neumann algebras A and B are type I factors, then Φ is a unitary isomorphism or a conjugate unitary isomorphism.
Keywords
∗ , Ring isomorphisms · Factor von Neumann algebras
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2744025
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