Unitary Correlation Sets

Samuel J. Harris, Vern I. Paulsen

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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 languageEnglish (US)
Pages (from-to)125-149
Number of pages25
JournalIntegral Equations and Operator Theory
Volume89
Issue number1
DOIs
StatePublished - Sep 1 2017
Externally publishedYes

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

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