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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