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arXiv · 1108.5021

Approximate double commutants in von Neumann algebras

Don Hadwin
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Abstract

Richard Kadison showed that not every commutative von Neumann subalgebra of a factor von Neumann algebra is equal to its relative double commutant. We prove that every commutative C*-subalgebra of a centrally prime C*-algebra $B$ equals its relative approximate double commutant. If $B$ is a von Neumann algebra, there is a related distance formula.

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Don Hadwin. 2011-08-25. Approximate double commutants in von Neumann algebras. https://arxiv.org/abs/1108.5021

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