Differentiating the State Evaluation Map from Matrices to Functions on Projective Space

Ghaliah Alhamzi, Edwin Beggs

We show that the pure state evaluation map from $M_n(\mathbb{C})$ to $C(\mathbb{C}{\mathbb{P}}^{n-1})$ (a completely positive map of $C^{\ast }$-algebras) extends to a cochain m…