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

Gabor Szabo

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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 languageEnglish
Pages (from-to)1262-1268
Number of pages7
JournalAdvances in Mathematics
Volume306
Early online date17 Nov 2016
DOIs
Publication statusPublished - 14 Jan 2017

Keywords

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

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