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arXiv · 1604.05684

Structural properties of close II$_1$ factors

Jan Cameron·Erik Christensen·Allan M. Sinclair·Roger R. Smith·Stuart White·Alan D. Wiggins
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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 $Γ$. 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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Jan Cameron, Erik Christensen, Allan M. Sinclair, Roger R. Smith, Stuart White, Alan D. Wiggins. 2016-05-31. Structural properties of close II$_1$ factors. https://arxiv.org/abs/1604.05684

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