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19 April 2024 |
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Two-outcome synchronous correlation sets and Connes' embedding problem | | Travis B. Russell
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3 Oct 2019 | | 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. | | Source: | arXiv, 1910.1696 | | Services: | Forum | Review | PDF | Favorites | |
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