Geodesic
Choquet order and Jordan morphisms of operator algebras
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 140 (2017), pp. 119-124.

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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 $\sigma$-finite von Neumann algebras in terms of decompositions of states.
Mots-clés : Choquet order, Abelian subalgebra, Jordan isomorphism.
Keywords: orthogonal measures 
@article{INTO_2017_140_a8,
     author = {E. A. Turilova and J. Hamhalter},
     title = {Choquet order and {Jordan} morphisms of operator algebras},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {119--124},
     publisher = {mathdoc},
     volume = {140},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_140_a8/}
}
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E. A. Turilova; J. Hamhalter. Choquet order and Jordan morphisms of operator algebras. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 140 (2017), pp. 119-124. http://geodesic.mathdoc.fr/item/INTO_2017_140_a8/