Unital Dilations of Completely Positive Semigroups: From Combinatorics to Continuity

2013/09/13 by Gaebler, David J.
#46L57 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1309.3550

Abstract

Using ideas due to Jean-Luc Sauvageot, we prove the existence of a continuous unital dilation of a CP₀-semigroup on a separable W^*-algebra. This paper presents the material in the author's Ph. D. thesis (arXiv.org:1304.0134.pdf) with some generalizations and an improved exposition.

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