Double relative commutants in coronas of separable <i>C<sup>*</sup></i>-algebras
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Abstract
Abstract We prove a double commutant theorem for separable subalgebras of a wide class of corona C * -algebras, largely resolving a problem posed by Pedersen in 1988. Double commutant theorems originated with von Neumann, whose seminal result evolved into an entire field now called von Neumann algebra theory. Voiculescu later proved a C * -algebraic double commutant theorem for subalgebras of the Calkin algebra. We prove a similar result for subalgebras of a much more general class of so-called corona C * -algebras.
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