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Nuclear dimension of
simple stably projectionless $\mathrm{C}^*$-algebras
Jorge Castillejos and Samuel Evington |
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Vol. 13 (2020), No. 7, 2205–2240
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Abstract |
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We prove that -stable, simple, separable, nuclear, nonunital -algebras have nuclear dimension at most 1. This completes the equivalence between finite nuclear dimension and -stability for simple, separable, nuclear, nonelementary -algebras. |
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Keywords
$\mathrm{C}^*$-algebras, classification of
$\mathrm{C}^*$-algebras
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Mathematical Subject Classification 2010
Primary: 46L05, 46L35
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Milestones
Received: 4 March 2019
Revised: 9 June 2019
Accepted: 13 August 2019
Published: 10 November 2020
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Authors |
| Jorge Castillejos | |
| Department of Mathematics KU Leuven Leuven Belgium |
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| Samuel Evington | |
| School of Mathematics and
Statistics University of Glasgow Glasgow United Kingdom |
Institute of Mathematics Polish Academy of Sciences Warsaw Poland |
