The paper proves a Stinespring-type factorization and a Radon-Nikodym style domination criterion for operator-valued positive definite kernels over unital C*-algebras, using reduction to scalar reproducing kernel Hilbert spaces.
Henrichs,Decomposition of invariant states and nonseparableC ∗-algebras, Publ
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Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels
The paper proves a Stinespring-type factorization and a Radon-Nikodym style domination criterion for operator-valued positive definite kernels over unital C*-algebras, using reduction to scalar reproducing kernel Hilbert spaces.