Dual operator algebras close to injective von Neumann algebras

Details Dual operator algebras close to injective von Neumann algebras Dual operator algebras close to injective von Neumann algebras

2011-04-04

arxiv.org/abs/1104.0517v1

Mathematics

Operator Algebras

19 pages

Scientific paper

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.

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