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arXiv · 1004.0741

Model theory of operator algebras II: Model theory

Ilijas Farah·Bradd Hart·David Sherman
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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.

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Ilijas Farah, Bradd Hart, David Sherman. 2010-04-06. Model theory of operator algebras II: Model theory. https://arxiv.org/abs/1004.0741

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