Ramsey, Christopher2020-12-042022-05-312022-05-312018Ramsey, C. "Faithfulness of bi-free product states", Proceedings of the American Mathematical Society 146 (2018), 5279-5288. https://doi.org/10.1090/proc/14194https://hdl.handle.net/20.500.14078/2087Given a non-trivial family of pairs of faces of unital C*- algebras where each pair has a faithful state, it is proved that if the bi-free product state is faithful on the reduced bi-free product of this family of pairs of faces then each pair of faces arises as a minimal tensor product. A partial converse is also obtained.141.16KBPDFenAll Rights Reservedoperator algebras (math.OA)functional analysis (math.FA)Article Post-Printhttps://doi.org/10.1090/proc/14194