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.
122, Springer-Verlag, Berlin, 2006, Theory of C^* -algebras and von N eumann algebras, Operator Algebras and Non-commutative Geometry, III
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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.