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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
Lobachevskii Journal of Mathematicsjournal2025en
ABI

Abstract

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.

Topics

Advanced Operator Algebra ResearchAdvanced Topics in AlgebraAlgebraic structures and combinatorial models

Identifiers

DOI
10.1134/s1995080225608136

Citations and references

Cited by 09 references
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