a landmark result by dykema in 1993 classified free products of finite-dimensional von neumann algebras equipped with tracial states. in 1997, shlyakhtenko constructed the almost periodic free araki-woods factors, a natural non-tracial analogue to free group factors. he asked whether free products of finite-dimensional von neumann algebras with respect to non-tracial states can be described in terms of free araki-woods factors. in this talk, i will answer shlyakhtenko's question in the affirmative, therefore providing a complete classification of free products of finite dimensional von neumann algebras. this is joint work with brent nelson.