A new bicommutant theorem

Abstract

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 $A$.

Minor corrections and clarifications. To appear in Pacific J. Math

References in corpus (1)

• Decomposition rank of UHF-absorbing C*-algebras

Cited by in corpus (1)

• Voiculescu's Theorem for Nonseparable C*-algebras