Structural properties of close II1 factors

Cameron, J., Christensen, E., Sinclair, A. M., Smith, R. R., White, S. and Wiggins, A. D. (2017) Structural properties of close II1 factors. Münster Journal of Mathematics, 10(1), pp. 19-37. (doi:10.17879/33249460964)

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Abstract

We show that a number of key structural properties transfer between sufficiently close II1 factors, including solidity, strong solidity, uniqueness of Cartan masas and property Γ. We also examine II1 factors close to tensor product factors, showing that such factors also factorize as a tensor product in a fashion close to the original.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:White, Professor Stuart
Authors: Cameron, J., Christensen, E., Sinclair, A. M., Smith, R. R., White, S., and Wiggins, A. D.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Münster Journal of Mathematics
Publisher:University of Münster
ISSN:1867-5778
ISSN (Online):1867-5786
Copyright Holders:Copyright © 2017 University of Münster
First Published:First published in Münster Journal of Mathematics 10(1):19-37
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
596411The Cuntz Semigroup and the Fine Structure of Nuclear C*-AlgebrasStuart WhiteEngineering & Physical Sciences Research Council (EPSRC)EP/I019227/1M&S - MATHEMATICS