Mappings preserving Segal's entropy in von Neumann algebras

DOI10.5186/aasfm.2019.4439zbMath1430.46051OpenAlexW2954322963WikidataQ127577077 ScholiaQ127577077MaRDI QIDQ5224334

Hanna Podsȩdkowska, Andrzej Łuczak

Publication date: 23 July 2019

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2019.4439

zbMATH Keywords

semifinite von Neumann algebrapositive mapsSegal entropy

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

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• Properties of Segal's entropy for quantum systems
• Notes on non-commutative integration
• Theory of operator algebras. II
• An operational approach to quantum probability
• A non-commutative extension of abstract integration
• Around Shannon's interpretation for entropy-preserving stochastic averages
• Non-commutative L^P-spaces

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