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On fundamental groups of tensor product II_1 factors

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OASW01 - Structure of operator algebras: subfactors and fusion categories

We study a stronger notion of primeness for II_1 factors, which was introduced in my previous work. Using this, we prove that if G and H are groups which are realized as fundamental groups of II_1 factors, then so are groups GH and G \cap H.

This talk is part of the Isaac Newton Institute Seminar Series series.

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