Email this article Choquet Order and Jordan Morphisms of Operator Algebras
- Authors: Turilova E.A.1, Hamhalter J.2
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Affiliations:
- Kazan (Volga Region) Federal University
- Czech Technical University
- Issue: Vol 241, No 4 (2019)
- Pages: 501-506
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242913
- DOI: https://doi.org/10.1007/s10958-019-04439-y
- ID: 242913
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Abstract
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.
About the authors
E. A. Turilova
Kazan (Volga Region) Federal University
Author for correspondence.
Email: Ekaterina.Turilova@kpfu.ru
Russian Federation, Kazan
J. Hamhalter
Czech Technical University
Email: Ekaterina.Turilova@kpfu.ru
Czech Republic, Prague
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