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arXiv · 1910.01696

Two-outcome synchronous correlation sets and Connes' embedding problem

Travis B. Russell
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Abstract

We show that Connes' embedding problem is equivalent to the weak Tsirelson problem in the setting of two-outcome synchronous correlation sets. We further show that the extreme points of two-outcome synchronous correlation sets can be realized using a certain class of universal C*-algebras. We examine these algebras in the three-experiment case and verify that the strong and weak Tsirelson problems have affirmative answers in that setting.

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Travis B. Russell. 2019-10-03. Two-outcome synchronous correlation sets and Connes' embedding problem. https://arxiv.org/abs/1910.01696

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