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arXiv · 1104.0517

Dual operator algebras close to injective von Neumann algebras

Jean Roydor
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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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Jean Roydor. 2011-04-04. Dual operator algebras close to injective von Neumann algebras. https://arxiv.org/abs/1104.0517

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