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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1055))

Abstract

We construct and discuss some explicit examples of Markov dilations for semigroups of completely positive operators on the W*-algebra of 2×2 matrices. In particular, we obtain a continuous Markov dilation for a semigroup of non-quasifree operators.

This paper reports on results which are part of a research project supported by the Deutsche Forschungsgemeinschaft

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Luigi Accardi Alberto Frigerio Vittorio Gorini

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© 1984 Springer-Verlag

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Kümmerer, B. (1984). Examples of markov dilations over the 2×2 matrices. In: Accardi, L., Frigerio, A., Gorini, V. (eds) Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Lecture Notes in Mathematics, vol 1055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071725

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  • DOI: https://doi.org/10.1007/BFb0071725

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  • Print ISBN: 978-3-540-12915-8

  • Online ISBN: 978-3-540-38798-5

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