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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. 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.
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 language | English |
|---|---|
| Number of pages | 13 |
| Publication status | In preparation - 2020 |
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Dive into the research topics of 'Relative double commutants in coronas of separable C*-algebras'. Together they form a unique fingerprint.Activities
- 1 Visiting an external academic institution
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University of New Brunswick
Martin Mathieu (Visiting researcher) & Dan Kucerovsky (Host)
30 Jun 2018 → 31 Jul 2018Activity: Visiting an external institution types › Visiting an external academic institution