Approximate double commutants in von Neumann algebras

2011/08/25 by Don Hadwin, Hadwin, Don · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Holomorphic and Operator Theory #math.FA #math.OA

paper · pdf · doi:10.48550/arxiv.1108.5021

arxiv created 2011/08/25 · arxiv updated 2011/08/26

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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• Approximate Double Commutants and Distance Formulas

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