Decomposable approximations of nuclear C*-algebras

Ilan Hirshberg, Eberhard Kirchberg, Stuart White

Research output: Contribution to journalArticlepeer-review

Abstract

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 languageAmerican English
Pages (from-to)1029-1039
Number of pages11
JournalAdvances in Mathematics
Volume230
Issue number3
DOIs
StatePublished - 20 Jun 2012

Keywords

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

All Science Journal Classification (ASJC) codes

  • General Mathematics

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