Traces, dispersions of states and hidden variables

DOI10.1007/s10702-004-0905-6zbMath1075.81007OpenAlexW2012886366MaRDI QIDQ1768573

Jan Hamhalter

Publication date: 15 March 2005

Published in: Foundations of Physics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10702-004-0905-6

zbMATH Keywords

traceoperator algebrashidden variablesdispersions of states

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) General theory of von Neumann algebras (46L10) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Tensor products of (C^*)-algebras (46L06) Operator algebra methods applied to problems in quantum theory (81R15) States of selfadjoint operator algebras (46L30)

Related Items (3)

States on operator algebras and axiomatic system of quantum theory ⋮ A topos for algebraic quantum theory ⋮ Kochen-Specker theorem for von Neumann algebras

Cites Work

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• Characterizations of the trace
• \(C^*\)-algebras of real rank zero
• Jensen's Inequality for Positive Contractions on Operator Algebras
• Traces On Jordan Algebras
• A Characterization of the Canonical Centre-Valued Trace in Finite Von Neumann Algebras
• The structure of multiplication and addition in simple $C^*$-algebras.
• Traces and Subadditive Measures on Projections in JBW-Algebras and Von Neumann Algebras
• On the Problem of Hidden Variables in Quantum Mechanics
• When can hidden variables be excluded in quantum mechanics?
• Quantum measure theory

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