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arxiv: 1603.02105 · v5 · pith:QI675H77new · submitted 2016-03-07 · 🧮 math.OA · math.LO

A new bicommutant theorem

classification 🧮 math.OA math.LO
keywords bicommutanttheoremunitalalgebrasanalogueequalproverelative
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We prove an analogue of Voiculescu's theorem: Relative bicommutant of a separable unital subalgebra $A$ of an ultraproduct of simple unital C*-algebras is equal to $A$.

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