Connes' Embedding Problem and Lance's WEP

2003/05/12 by Nathanial P. Brown, Brown, Nathanial P.
Mathematics · #46L05 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L05

paper · pdf · doi:10.48550/arxiv.math/0305167

7 pages

arxiv created 2003/05/12 · arxiv updated 2009/11/30

Abstract

A II₁ factor embeds into the ultraproduct of the hyperfinite II₁ factor if and only if it satisfies the W*-analogue of Lance's weak expectation property. This note gives a self contained proof of this fact.

Related

• The Universal Theory Of The Hyperfinite II₁ Factor Is Not Computable
• A computability-theoretic reformulation of the Connes Embedding Problem
• The Connes Embedding Problem: A guided tour
• Non-embeddable II₁ factors resembling the hyperfinite II₁ factor
• About the QWEP conjecture