Markov quantum semigroups admit covariant Markov \(C^ *\)-dilations

DOI10.1007/BF01210927zbMath0606.60079MaRDI QIDQ1084766

Jean-Luc Sauvageot

Publication date: 1986

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

zbMATH Keywords

quantum semigroupweak Markov propertyDaniell-Kolmogorov type constructiondilation of the semigroup

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Stochastic mechanics (including stochastic electrodynamics) (81P20) Markov processes (60J99)

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Cites Work

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• Noncommutative Markov chains associated to a preassigned evolution: an application to the quantum theory of measurement
• Dilation of a Dissipative Quantum Dynamical System to a Quantum Markov Process
• Positive Functions on C ∗ -Algebras