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A remark on the minimal dilation of the semigroup generated by a normal UCP-map

Operator Algebras 2018-07-13 v2

Abstract

There are known three ways to construct the minimal dilation of the discrete semigroup generated by a normal unital completely positive map on a von Neumann algebra, which are given by Arveson, Bhat-Skeide and Muhly-Solel. In this paper, we clarify the relation of the constructions by Bhat-Skeide and Muhly-Solel.

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Cite

@article{arxiv.1705.09104,
  title  = {A remark on the minimal dilation of the semigroup generated by a normal UCP-map},
  author = {Yusuke Sawada},
  journal= {arXiv preprint arXiv:1705.09104},
  year   = {2018}
}

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