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The Operator Hilbert Space OH and TYPE III von Neumann Algebras

Gilles Pisier
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Abstract

We prove that the operator Hilbert space OH does not embed completely isomorphically into the predual of a semi-finite von Neumann algebra. This complements Junge's recent result that it admits such an embedding in the non semi-finite case.

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Gilles Pisier. 2003-02-22. The Operator Hilbert Space OH and TYPE III von Neumann Algebras. https://arxiv.org/abs/math/0209019

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