STRUCTURE OF ASSOCIATIVE SUBALGEBRAS OF JORDAN OPERATOR ALGEBRAS
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Publication:5300592
DOI10.1093/QMATH/HAS015zbMath1283.46048arXiv1111.7240OpenAlexW1973859283MaRDI QIDQ5300592
Jan Hamhalter, Ekaterina Turilova
Publication date: 27 June 2013
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.7240
\(C^*\)-algebravon Neumann algebraJBW-algebraJB-algebraassociative subalgebrasunital associative subalgebras
General theory of von Neumann algebras (46L10) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70) Automorphisms of selfadjoint operator algebras (46L40)
Related Items (10)
Characterizations of categories of commutative \(C^*\)-subalgebras ⋮ Dye's theorem and Gleason's theorem for \(AW^\ast\)-algebras ⋮ Automorphisms of order structures of abelian parts of operator algebras and their role in quantum theory ⋮ 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 ⋮ Orthogonal measures on state spaces and context structure of quantum theory ⋮ Disjointness preservers of \(AW^\ast\)-algebras ⋮ Choquet order and Jordan maps ⋮ Choquet order and Jordan morphisms of operator algebras ⋮ Linear maps preserving maximal deviation and the Jordan structure of quantum systems
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