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arXiv · 1703.05801

Faithfulness of bi-free product states

Christopher Ramsey
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Abstract

Given 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.

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Christopher Ramsey. 2017-03-16. Faithfulness of bi-free product states. https://arxiv.org/abs/1703.05801

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