English

Unital Dilations of Completely Positive Semigroups: From Combinatorics to Continuity

Operator Algebras 2013-09-16 v1

Abstract

Using ideas due to Jean-Luc Sauvageot, we prove the existence of a continuous unital dilation of a CP0_0-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.

Keywords

Cite

@article{arxiv.1309.3550,
  title  = {Unital Dilations of Completely Positive Semigroups: From Combinatorics to Continuity},
  author = {David J. Gaebler},
  journal= {arXiv preprint arXiv:1309.3550},
  year   = {2013}
}

Comments

69 pages. Submitted to Memoirs of the AMS