Nuclear dimension of simple C*-algebras

Castillejos, J., Evington, S., Tikuisis, A., White, S. and Winter, W. (2021) Nuclear dimension of simple C*-algebras. Inventiones Mathematicae, 224(1), pp. 245-290. (doi: 10.1007/s00222-020-01013-1)

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Abstract

We compute the nuclear dimension of separable, simple, unital, nuclear, Z-stable C∗-algebras. This makes classification accessible from Z-stability and in particular brings large classes of C∗-algebras associated to free and minimal actions of amenable groups on finite dimensional spaces within the scope of the Elliott classification programme.

Item Type:Articles
Additional Information:Research partially supported by: EPSRC (EP/N00874X/1 (AT), EP/R025061/1 (SE, SW), EP/K503058/1 and EP/J500434 (SE)), DFG (SFB 878, EXC 2044 Mathematics Munster: Dynamics { Geometry { Structure (WW)), NSERC (AT), NCN (2014/14/E/ST1/00525 (SE)), by an Alexander von Humboldt Foundation fellowship (SW), and a Methusalem grant of the Flemish Government (JC).
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:White, Professor Stuart and Evington, Dr Samuel and Castillejos-Lopez, Jorge
Authors: Castillejos, J., Evington, S., Tikuisis, A., White, S., and Winter, W.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Inventiones Mathematicae
Publisher:Springer
ISSN:0020-9910
ISSN (Online):1432-1297
Published Online:22 December 2020
Copyright Holders:Copyright © 2020 The Authors
First Published:First published in Inventiones Mathematicae 224(1): 245-290
Publisher Policy:Reproduced under a Creative Commons license
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
301348von Neumann techniques in C*- algebras and dynamicsStuart WhiteEngineering and Physical Sciences Research Council (EPSRC)EP/R025061/1M&S - Mathematics
190490Engineering and Physical Sciences Doctoral Training Grant 2012-16Mary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/K503058/1Research and Innovation Services
190386EPSRC Doctoral Training Grant 2011-2015Mary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/J500434/1Research and Innovation Services