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 |
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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 Castillejos-Lopez, Jorge and Evington, Dr Samuel |
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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