Constructs the first examples of separable II₁ factors with no non-trivial crossed product decompositions via a novel embedding property into the tensor square.
[Pop10] Sorin Popa
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.OA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
For any finite group G there exists a McDuff II1 factor M such that its categorical Connes tilde-chi(M) is braided equivalent to Rep(G), providing the first non-modular braided fusion category realized this way.
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A class of II$_1$ factors without non-trivial crossed product decompositions
Constructs the first examples of separable II₁ factors with no non-trivial crossed product decompositions via a novel embedding property into the tensor square.
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Gauging the Categorical Connes' $\tilde{\chi}(M)$
For any finite group G there exists a McDuff II1 factor M such that its categorical Connes tilde-chi(M) is braided equivalent to Rep(G), providing the first non-modular braided fusion category realized this way.