We generalize Stinespring’s Dilation Theorem to arbitrary completely positive normal maps between von Neumann algebra’s.
In 1973 Paschke defined a factorization for completely positive maps between C*-algebras. In this paper we show that for normal maps between von Neumann algebras, this factorization has a universal property, and coincides with Stinespring’s dilation for normal maps into \(B(\mathscr{H})\).