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Structural properties of close II$_1$ factors (1604.05684v2)

Published 19 Apr 2016 in math.OA

Abstract: 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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