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arxiv: 1407.6929 · v4 · pith:OHSHQGMDnew · submitted 2014-07-25 · 🧮 math.OA

Similarity degree of type II₁ von Neumann algebras with Property Gamma

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keywords gammaneumannpropertytypealgebradefinitionsdegreeequivalent
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In this paper, we discuss some equivalent definitions of Property $\Gamma$ for a type II$_1$ von Neumann algebra. Using these equivalent definitions, we prove that the Pisier's similarity degree of a type II$_1$ von Neumann algebra with Property $\Gamma$ is equal to $3$.

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