Authors: Farah, Ilijas 
Hart, Bradd
Sherman, David
Title: Model theory of operator algebras II: model theory
Journal: Israel Journal of Mathematics
Volume: 201
Issue: 1
First page: 477
Last page: 505
Issue Date: 1-Jan-2014
Rank: M21
ISSN: 0021-2172
DOI: 10.1007/s11856-014-1046-7
Abstract: 
We introduce a version of logic for metric structures suitable for applications to C*-algebras and tracial von Neumann algebras. We also prove a purely model-theoretic result to the effect that the theory of a separable metric structure is stable if and only if all of its ultrapowers associated with nonprincipal ultrafilters on ℕ are isomorphic even when the Continuum Hypothesis fails.
Publisher: Springer Link

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