English

Connes' Embedding Problem and Lance's WEP

Operator Algebras 2007-05-23 v1

Abstract

A II_1 factor embeds into the ultraproduct of the hyperfinite II_1 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.

Cite

@article{arxiv.math/0305167,
  title  = {Connes' Embedding Problem and Lance's WEP},
  author = {Nathanial P. Brown},
  journal= {arXiv preprint arXiv:math/0305167},
  year   = {2007}
}

Comments

7 pages