Model theory of operator algebras II: Model theory

Details Model theory of operator algebras II: Model theory Model theory of operator algebras II: Model theory

2010-04-06

arxiv.org/abs/1004.0741v1

Mathematics

Logic

Scientific paper

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 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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