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

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

2010-12-09

arxiv.org/abs/1012.2111v2

Integral Equations and Operator Theory: Volume 71, Issue 1 (2011), 55-63

Mathematics

Operator Algebras

7 pages. Minor corrections. To appear in Integral Equations Operator Theory

Scientific paper

10.1007/s00020-011-1863-6

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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