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arxiv: 1604.05684 · v2 · pith:5FTDNMLDnew · submitted 2016-04-19 · 🧮 math.OA

Structural properties of close II₁ factors

classification 🧮 math.OA
keywords factorscloseproductpropertiessoliditystructuraltensorcartan
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We show that a number of key structural properties transfer between sufficiently close II$_1$ factors, including solidity, strong solidity, uniqueness of Cartan masas and property $\Gamma$. We also examine II$_1$ factors close to tensor product factors, showing that such factors also factorise as a tensor product in a fashion close to the original.

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