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arxiv: 1012.2111 · v2 · pith:IBWLIGTFnew · submitted 2010-12-09 · 🧮 math.OA

Three commuting, unital, completely positive maps that have no minimal dilation

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keywords dilationcommutingcompletelymapsminimalpositivethreeunital
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In this note we prove that there exist at least two examples of three commuting, unital, completely positive maps that have no dilation on a type I factor, and no minimal dilation on any von Neumann algebra.

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