Dual operator algebras close to injective von Neumann algebras

2011/04/04 by Jean Roydor, Roydor, Jean
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.1104.0517

19 pages

arxiv created 2011/04/04 · arxiv updated 2011/04/05

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.

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