Convexity, unitary invariance and monotonicity under completely positive maps over injective vN-algebras

DOI10.1007/BF00402657zbMath0627.46072WikidataQ114234134 ScholiaQ114234134MaRDI QIDQ1092386

Peter M. Alberti

Publication date: 1986

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

lower semi-continuousquasi-convexcompletely positive, normal, unity-preserving linear mapsentropy in statistical mechanicsfunctor on the category of injective von Neumann algebrasset of normal states

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Classical equilibrium statistical mechanics (general) (82B05) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60)

Related Items (1)

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Cites Work

• A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space
• Completely positive maps and entropy inequalities
• Relative entropy of states of von Neumann algebras
• Injectivity and operator spaces
• Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
• Tensor products of operator algebras
• Injective W*-algebras
• On Approximately Finite-Dimensional Von Neuman Algebras, II

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