A remark on the minimal dilation of the semigroup generated by a normal UCP-map
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🧮 math.OA
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bhat-skeidedilationgeneratedminimalmuhly-solelnormalsemigroupalgebra
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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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