Structural properties of close II$_1$ factors
Operator Algebras
2016-06-01 v2
Abstract
We show that a number of key structural properties transfer between sufficiently close II factors, including solidity, strong solidity, uniqueness of Cartan masas and property . We also examine II factors close to tensor product factors, showing that such factors also factorise as a tensor product in a fashion close to the original.
Keywords
Cite
@article{arxiv.1604.05684,
title = {Structural properties of close II$_1$ factors},
author = {Jan Cameron and Erik Christensen and Allan M. Sinclair and Roger R. Smith and Stuart White and Alan D. Wiggins},
journal= {arXiv preprint arXiv:1604.05684},
year = {2016}
}
Comments
Minor typos corrected. Munster J. Math., to appear. 16 pages, section 2 contains material from arXiv:1209.4116v2 which was removed from the final published version (v3)