Every type I factor summand of a graph product von Neumann algebra is a tensor product of type I factor summands of the pieces, with existence and weight determined by explicit clique polynomials.
Belinschi, Hari Bercovici, and Weihua Liu, The atoms of operator-valued free convolutions, Journal of Operator Theory 85 (2021), no
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The atoms of graph product von Neumann algebras
Every type I factor summand of a graph product von Neumann algebra is a tensor product of type I factor summands of the pieces, with existence and weight determined by explicit clique polynomials.