Remarks on continuity of entropy of states on C*-dynamical systems

DOI10.1063/1.529243zbMath0739.46054OpenAlexW2080779108MaRDI QIDQ3980909

Naohumi Muraki

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529243

zbMATH Keywords

\(C^*\)-dynamical systemscompact convex setsLower semicontinuity of Ohza's \({\mathcal S}\)-entropy with respect to the state space and to the space of invariant statesLower semicontinuity of the \({\mathcal S}\)-entropy in a weak\(^*\) topology

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Related Items (1)

Entropies of general quantum states

Cites Work

• Entropy transmission in \(C^*\)-dynamical systems
• Continuity of entropy and mutual entropy in C*-dynamical systems

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