Weak semiprojectivity for purely infinite C* -algebras

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Abstract

We prove that a separable, nuclear, purely infinite, simple C * -algebra satisfying the universal coefficient theorem is weakly semiprojective if and only if its K-groups are direct sums of cyclic groups.

Original languageEnglish (US)
Pages (from-to)460-468
Number of pages9
JournalCanadian Mathematical Bulletin
Volume50
Issue number3
DOIs
StatePublished - Sep 2007

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Keywords

  • Graph C -algebra
  • Kirchberg algebra
  • Weak semiprojectivity

ASJC Scopus subject areas

  • Mathematics(all)

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