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arXiv · 2306.15952

A minimal completion theorem and almost everywhere equivalence for Completely Positive maps

B. V. Rajarama Bhat·Arghya Chongdar
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Abstract

A problem of completing a linear map on C*-algebras to a completely positive map is analyzed. It is shown that whenever such a completion is feasible there exists a unique minimal completion. This theorem is used to show that under some very general conditions a completely positive map almost everywhere equivalent to a quasi-pure map is actually equal to that map.

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B. V. Rajarama Bhat, Arghya Chongdar. 2023-06-28. A minimal completion theorem and almost everywhere equivalence for Completely Positive maps. https://arxiv.org/abs/2306.15952

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