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Published online by Cambridge University Press: 10 February 2020
This is a brief excursion into atopic that belongs to quantum information theory. We prove here that the Connes-Kirchberg problem is equivalent to a question raised by Tsirelson in connection with quantum mechanics. The question involves correlation matrices of various kinds that we discuss using operatorvalued measures in order to highlight the equivalence ofthe Tsirelson problem with the LLP of certain free product C*-algebras.
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