In 2010, Dabrowski showed that a von Neumann algebra generated by self-adjoint operators is a factor when they admit a conjugate system. We extend this to the operator-valued case by defining an operator valued partial derivative and conjugate systems with respect to completely positive maps. We examine some polynomials that do not have atoms in B and using this, show that the center of the von Neumann algebra generated by B and its relative commutant is the center of B
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