Choquet order and Jordan maps

DOI10.1134/S1995080218030149zbMath1451.46005OpenAlexW2802652844MaRDI QIDQ722288

Ekaterina Turilova, Jan Hamhalter

Publication date: 23 July 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218030149

zbMATH Keywords

\(C^\ast\)-dynamical systemsinvariant statesChoquet orderorthogonal measures

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Convex sets in topological linear spaces; Choquet theory (46A55) States of selfadjoint operator algebras (46L30) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (3)

Symmetries of C ∗-algebras and Jordan Morphisms ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ Jordan invariants of von Neumann algebras given by abelian subalgebras and Choquet order on state spaces

Cites Work

• Unnamed Item
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• Bohrification of operator algebras and quantum logic
• Automorphisms of order structures of abelian parts of operator algebras and their role in quantum theory
• Orthogonal measures on state spaces and context structure of quantum theory
• Foundations of quantum theory. From classical concepts to operator algebras
• Integral representation theory. Applications to convexity, Banach spaces and potential theory
• Isomorphisms of ordered structures of Abelian \(C^*\)-subalgebras of \(C^*\)-algebras
• Deep Beauty
• STRUCTURE OF ASSOCIATIVE SUBALGEBRAS OF JORDAN OPERATOR ALGEBRAS

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