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arXiv · 1012.2111

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

Orr Shalit·Michael Skeide
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Abstract

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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Orr Shalit, Michael Skeide. 2010-12-09. Three commuting, unital, completely positive maps that have no minimal dilation. https://doi.org/10.1007/s00020-011-1863-6

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