On the nuclear dimension of strongly purely infinite C*-algebras

Gabor Szabo

doi:10.1016/j.aim.2016.11.009

On the nuclear dimension of strongly purely infinite C*-algebras

Gabor Szabo

Mathematical Science

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Abstract

We show that separable, nuclear and strongly purely infinite C ∗-algebras have finite nuclear dimension. In fact, the value is at most three. This exploits a deep structural result of Kirchberg and Rørdam on strongly purely infinite C∗-algebras that are homotopic to zero in an ideal-system preserving way

Original language	English
Pages (from-to)	1262-1268
Number of pages	7
Journal	Advances in Mathematics
Volume	306
Early online date	17 Nov 2016
DOIs	https://doi.org/10.1016/j.aim.2016.11.009
Publication status	Published - 14 Jan 2017

Bibliographical note

Supported by: SFB 878 Groups, Geometry and Actions and EPSRC grant EP/N00874X/1

Keywords

nuclear dimension
purely infinite C*-algebra
Toms-Winter conjecture

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10.1016/j.aim.2016.11.009Licence: CC BY

On the nuclear dimension of strongly purely infinite C∗-algebras
© 2016 The Author. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Final published version, 272 KBLicence: CC BY

Cite this

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AB - We show that separable, nuclear and strongly purely infinite C ∗-algebras have finite nuclear dimension. In fact, the value is at most three. This exploits a deep structural result of Kirchberg and Rørdam on strongly purely infinite C∗-algebras that are homotopic to zero in an ideal-system preserving way

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KW - Toms-Winter conjecture

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On the nuclear dimension of strongly purely infinite C*-algebras

Abstract

Bibliographical note

Keywords

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