Decomposable approximations of nuclear C*-algebras

Ilan Hirshberg, Eberhard Kirchberg, Stuart White

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


We show that nuclear C*-algebras have a refined version of the completely positive approximation property, in which the maps that approximately factorize through finite dimensional algebras are convex combinations of order zero maps. We use this to show that a separable nuclear C*-algebra A which is closely contained in a C*-algebra B embeds into B.

Original languageEnglish
Pages (from-to)1029-1039
Number of pages11
JournalAdvances in Mathematics
Issue number3
StatePublished - 20 Jun 2012


  • Decomposition rank
  • Nuclear C*-algebras
  • Nuclear dimension

ASJC Scopus subject areas

  • Mathematics (all)


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