Approximate double commutants in von Neumann algebras

Details Approximate double commutants in von Neumann algebras Approximate double commutants in von Neumann algebras

2011-08-25

arxiv.org/abs/1108.5021v1

Mathematics

Operator Algebras

Scientific paper

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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