Connes' embedding problem and Lance's WEP

A II1-factor embeds into the ultraproduct of the hyperfinite II1-factor if and only if it satisfies the von Neumann algebraic analogue of Lance's weak expectation property (WEP). We give a self-contained proof of this fact.

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Bibliographic Details
Published in:International Mathematics Research Notices 2004, Vol.2004 (10), p.501-510
Main Author: Brown, Nathanial P.
Format: Article
Language:English
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Summary:A II1-factor embeds into the ultraproduct of the hyperfinite II1-factor if and only if it satisfies the von Neumann algebraic analogue of Lance's weak expectation property (WEP). We give a self-contained proof of this fact.
ISSN:1073-7928
1687-1197
1687-0247
DOI:10.1155/S1073792804131528