The Cuntz–Toeplitz algebras have nuclear dimension one

We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.

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Bibliographic Details
Published inJournal of functional analysis Vol. 279; no. 7; p. 108690
Main Authors Easo, Philip, Garijo, Esperanza, Kaubrys, Sarunas, Nkansah, David, Vrabec, Martin, Watt, David, Wilson, Cameron, Bönicke, Christian, Evington, Samuel, Forough, Marzieh, Girón Pacheco, Sergio, Seaton, Nicholas, White, Stuart, Whittaker, Michael F., Zacharias, Joachim
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.10.2020
Subjects
Cuntz-Toeplitz algebras
C⁎-algebras
Extensions
Nuclear dimension
Extensions
Nuclear dimension
Cuntz-Toeplitz algebras
C⁎-algebras
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Summary:We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2020.108690