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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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Faculty of Education, 184 Hills Road, Cambridge, CB2 8PQ, (Rm 2S8, Donald McIntyre Building) McCrum Lecture Theatre, Bene't Street (behind the Eagle Pub) McCrum Lecture Theatre (behind the Eagle pub), Bene't St

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