Relative double commutants in coronas of separable C*-algebras

Martin Mathieu, Dan Kucerovsky

Research output: Working paper


We prove a double commutant theorem for separable subalgebras of a wide class
of corona C*-algebras, largely resolving a problem posed by Pedersen. 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.
Original languageEnglish
Number of pages13
Publication statusIn preparation - 2020


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  • University of New Brunswick

    Martin Mathieu (Visiting researcher) & Dan Kucerovsky (Host)

    30 Jun 201831 Jul 2018

    Activity: Visiting an external institution typesVisiting an external academic institution

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