Maps Preserving Absolute Values of Normal Functionals on von Neumann Algebras
Jan HamhalterDepartment of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Prague, Czech RepublicEkaterina TurilovaLobachevskii Institute of Mathematics and Mechanics, Kazan Federal University, 420008, Kazan, Russia
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We study linear preservers of absolute values of normal functionals on von Neumann algebras. We show that maps of this kind are implemented by a $$\ast$$ -homomorhisms and central elements of algebras.
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