Abstract
The unitary correlation sets defined by the first author in conjunction with tensor products of Un c(n) are further studied. We show that Connes’ embedding problem is equivalent to deciding whether or not two smaller versions of the unitary correlation sets are equal. Moreover, we obtain the result that Connes’ embedding problem is equivalent to deciding whether or not two cross norms on Mn⊗ Mn are equal for all n≥ 2.
Original language | English (US) |
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Pages (from-to) | 125-149 |
Number of pages | 25 |
Journal | Integral Equations and Operator Theory |
Volume | 89 |
Issue number | 1 |
DOIs | |
State | Published - Sep 1 2017 |
Externally published | Yes |
Keywords
- Connes’ embedding problem
- Cross-norms
- Operator system tensor products
- Tsirelson’s problem
- Unitary correlation sets
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory