Approximate double commutants in von Neumann algebras
Operator Algebras
2011-08-26 v1 Functional Analysis
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 equals its relative approximate double commutant. If is a von Neumann algebra, there is a related distance formula.
Keywords
Cite
@article{arxiv.1108.5021,
title = {Approximate double commutants in von Neumann algebras},
author = {Don Hadwin},
journal= {arXiv preprint arXiv:1108.5021},
year = {2011}
}