Talk:Completely positive map

What is C ?
Can some please define what $$C$$ is in "Every positive map $$C(X)\to C(Y)$$ is completely positive." Jess_Riedel (talk) 02:12, 1 April 2020 (UTC)
 * $$C(X)$$ is the algebra of complex-valued continuous functions on a compact Hausdorff space $$X$$. This is considered standard notation in C*-algebra theory. Minimalrho (talk) 14:42, 6 April 2020 (UTC)