Model theory of operator algebras II: model theory

作者: Ilijas Farah , Bradd Hart , David Sherman

DOI: 10.1007/S11856-014-1046-7

关键词: Affiliated operatorVon Neumann's theoremAlgebraC*-algebraVon Neumann algebraFree probabilityTomita–Takesaki theoryAbelian von Neumann algebraMathematicsOperator algebra

摘要: We introduce a version of logic for metric structures suitable applications to C*-algebras and tracial von Neumann algebras. also prove purely model-theoretic result the effect that theory separable structure is stable if only all its ultrapowers associated with nonprincipal ultrafilters on ℕ are isomorphic even when Continuum Hypothesis fails.

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