Two-outcome synchronous correlation sets and Connes' embedding problem
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Authors
Russell, Travis
Issue Date
2019-10-03
Type
Journal articles
Language
Keywords
Operator Algebras
Alternative Title
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.
Description
Citation
Russell, Travis B. Two-outcome synchronous correlation sets and Connes' embedding problem. Operator Algebras. 2019.
Publisher
Operator Algebras