Authors: Farah, Ilijas 
Hart, Bradd
Sherman, David
Title: Model theory of operator algebras III: Elementary equivalence and II1 factors
Journal: Bulletin of the London Mathematical Society
Volume: 46
Issue: 3
First page: 609
Last page: 628
Issue Date: 1-Jan-2014
Rank: M22
ISSN: 0024-6093
DOI: 10.1112/blms/bdu012
Abstract: 
We use continuous model theory to obtain several results concerning isomorphisms and embeddings between factors and their ultrapowers. Among other things, we show that for any factor, there are continuum many nonisomorphic separable factors that have an ultrapower isomorphic to an ultrapower of. We also give a poor man's resolution of the Connes Embedding Problem: there exists a separable factor such that all factors embed into one of its ultrapowers.
Publisher: London Mathematical Society

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