Three commuting, unital, completely positive maps that have no minimal dilation
arXiv:1012.2111 · doi:10.1007/s00020-011-1863-6
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.
7 pages. Minor corrections. To appear in Integral Equations Operator Theory