Faithfulness of bifree product states

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چکیده

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Faithfulness of Free Product States

It is proved that the free product state, in the reduced free product of C–algebras, is faithful if the states one started with are faithful. The reduced free product of C–algebras was introduced by Voiculescu as the appropriate construction for C–algebras in the setting of his theory of freeness [1]. (See also the book [2]). Given a set I and for each ι ∈ I a unital C–algebra Aι with a state φ...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2018

ISSN: 0002-9939,1088-6826

DOI: 10.1090/proc/14194