A formulation of noncommutative McMillan theorem

DOI10.3792/pjaa.63.50zbMath0646.46064OpenAlexW2004314731MaRDI QIDQ1103835

Masanori Ohya, Hisaharu Umegaki, Makoto Tsukada

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.50

zbMATH Keywords

entropyalmost uniform convergenceInfinite product systemsMcMillan theoremminimal finite partitiontrace vectorvon Neumann algebra with trace

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (2)

McMillan type convergence for quantum Gibbs states ⋮ The proper formula for relative entropy and its asymptotics in quantum probability

Cites Work

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• Conditional expectation in an operator algebra. II
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Conditional expectation in an operator algebra
• Positivity of the K-entropy on non-abelian K-flows
• On compound state and mutual information in quantum information theory (Corresp.)

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