Semiprojectivity for certain purely infinite C*-algebras

John Spielberg

Research output: Contribution to journal › Article

9 Citations (Scopus)

Abstract

It is proved that classifiable simple separable nuclear purely infinite C*-algebras having finitely generated K-theory and torsion-free K1 are semiprojective. This is accomplished by exhibiting these algebras as C*-algebras of infinite directed graphs.

Original languageEnglish (US)
Pages (from-to)2805-2830
Number of pages26
JournalTransactions of the American Mathematical Society
Volume361
Issue number6
DOIs
StatePublished - Jun 2009

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Algebra
C*-algebra
Infinite Graphs
Torsion-free
K-theory
Directed Graph
Finitely Generated
Directed graphs
Torsional stress

Keywords

  • Graph algebra
  • Semiprojectivity
  • Simple purely infinite c-algebra

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Semiprojectivity for certain purely infinite C*-algebras. / Spielberg, John.

In: Transactions of the American Mathematical Society, Vol. 361, No. 6, 06.2009, p. 2805-2830.

Research output: Contribution to journal › Article

Spielberg, J 2009, 'Semiprojectivity for certain purely infinite C*-algebras', Transactions of the American Mathematical Society, vol. 361, no. 6, pp. 2805-2830. https://doi.org/10.1090/S0002-9947-09-04928-9
Spielberg J. Semiprojectivity for certain purely infinite C*-algebras. Transactions of the American Mathematical Society. 2009 Jun;361(6):2805-2830. https://doi.org/10.1090/S0002-9947-09-04928-9
Spielberg, John. / Semiprojectivity for certain purely infinite C*-algebras. In: Transactions of the American Mathematical Society. 2009 ; Vol. 361, No. 6. pp. 2805-2830.
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