Markov quantum semigroups admit covariant Markov \(C^ *\)-dilations
type: Item
instance of: scholarly article
title: Markov quantum semigroups admit covariant Markov \(C^ *\)-dilations
zbMATH Open document ID: 0606.60079
DOI: 10.1007/BF01210927
author: Jean-Luc Sauvageot
published in: Communications in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: Through a Daniell-Kolmogorov type construction, to any Markov quantum semigroup on a \(C^*\)-algebra there is associated a quantum stochastic process which is a dilation of the semigroup, and satisfies a covariance rule which implies the weak Markov property.
Mathematics Subject Classification ID: 60J99
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 3980182
zbMATH Keywords: Daniell-Kolmogorov type construction
zbMATH Keywords: quantum semigroup
zbMATH Keywords: dilation of the semigroup
zbMATH Keywords: weak Markov property
MaRDI profile type: Publication
cites work: Noncommutative Markov chains associated to a preassigned evolution: an application to the quantum theory of measurement
cites work: Q3333776
cites work: Q5556844
cites work: Q4141695
cites work: Positive Functions on C ∗ -Algebras
cites work: Dilation of a Dissipative Quantum Dynamical System to a Quantum Markov Process
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description: scientific article; zbMATH DE number 3980182