Choquet Order and Jordan Morphisms of Operator Algebras
- Autores: Turilova E.A.1, Hamhalter J.2
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Afiliações:
- Kazan (Volga Region) Federal University
- Czech Technical University
- Edição: Volume 241, Nº 4 (2019)
- Páginas: 501-506
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242913
- DOI: https://doi.org/10.1007/s10958-019-04439-y
- ID: 242913
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Resumo
We show that ordinal isomorphisms of orthogonal measures on state spaces of operator algebras equipped with the Choquet order are generated by Jordan isomorphisms of associated von Neumann algebras. This yields a new Jordan invariant of σ-finite von Neumann algebras in terms of decompositions of states.
Sobre autores
E. Turilova
Kazan (Volga Region) Federal University
Autor responsável pela correspondência
Email: Ekaterina.Turilova@kpfu.ru
Rússia, Kazan
J. Hamhalter
Czech Technical University
Email: Ekaterina.Turilova@kpfu.ru
Tchéquia, Prague
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