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arxiv: 1411.5558 · v1 · pith:GLV6BWTZnew · submitted 2014-11-20 · 🧮 math.OA · math-ph· math.MP· quant-ph

Two New Complete Invariants of von Neumann Algebras

classification 🧮 math.OA math-phmath.MPquant-ph
keywords completeinvariantsmathbbneumannorientedalgebraalgebrascategory
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We show that the oriented context category and the oriented spectral presheaf are complete invariants of a von Neumann algebra not isomorphic to $\mathbb{C}\oplus\mathbb{C}$ and with no direct summand of type $I_2$.

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