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• W3101441544 endingPage "628" @default.
• W3101441544 startingPage "609" @default.
• W3101441544 abstract "We use continuous model theory to obtain several results concerning isomorphisms and embeddings between II 1 factors and their ultrapowers. Among other things, we show that for any II 1 factor M, there are continuum many nonisomorphic separable II 1 factors that have an ultrapower isomorphic to an ultrapower of M. We also give a poor man's resolution of the Connes Embedding Problem: there exists a separable II 1 factor such that all II 1 factors embed into one of its ultrapowers." @default.
• W3101441544 created "2020-11-23" @default.
• W3101441544 creator A5021510208 @default.
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• W3101441544 date "2014-04-16" @default.
• W3101441544 modified "2023-10-11" @default.
• W3101441544 title "Model theory of operator algebras III: elementary equivalence and II₁factors" @default.
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• W3101441544 doi "https://doi.org/10.1112/blms/bdu012" @default.
• W3101441544 hasPublicationYear "2014" @default.
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