Stochastic Dilation of Symmetric Completely Positive Semigroups

2002/01/03 by Debashish Goswami, Goswami, Debashish, Kalyan B. Sinha +1
Mathematics · Physics and Astronomy · #46L53 #81S25 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #math-ph #math.FA #math.MP #msc:46L53 #msc:81S25

paper · pdf · doi:10.48550/arxiv.math-ph/0201005

arxiv created 2002/01/03 · arxiv updated 2009/11/30

Abstract

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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