Stochastic Dilation of Symmetric Completely Positive Semigroups

Details Stochastic Dilation of Symmetric Completely Positive Semigroups Stochastic Dilation of Symmetric Completely Positive Semigroups

2002-01-03

arxiv.org/abs/math-ph/0201005v1

Physics

Mathematical Physics

Scientific paper

This is a continuation of the study of the theory of quantum stochastic dilation of completely positive semigroups on a von Neumann or $C^*$ algebra, here with unbounded generators. The additional assumption of symmetry with respect to a semifinite trace allows the use of the Hilbert space techniques, while the covariance gives rise to better handle on domains. An Evans-Hudson flow is obtained, dilating the given semigroup.

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