Dual operator algebras close to injective von Neumann algebras
Operator Algebras
2011-04-05 v1
Abstract
We prove that if a non-selfadjoint dual operator algebra admitting a normal virtual diagonal and an injective von Neumann algebra are close enough for the Kadison-Kastler's metric, then they are similar. The bound explicitly depends on the norm of the normal virtual diagonal. This is inspired from E. Christensen's work on perturbation of operator algebras.
Keywords
Cite
@article{arxiv.1104.0517,
title = {Dual operator algebras close to injective von Neumann algebras},
author = {Jean Roydor},
journal= {arXiv preprint arXiv:1104.0517},
year = {2011}
}
Comments
19 pages