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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Semiprojectivity for certain purely infinite $C^*$-algebras
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by Jack Spielberg PDF
Trans. Amer. Math. Soc. 361 (2009), 2805-2830 Request permission

Abstract:

It is proved that classifiable simple separable nuclear purely infinite $C^*$-algebras having finitely generated $K$-theory and torsion-free $K_{1}$ are semiprojective. This is accomplished by exhibiting these algebras as $C^*$-algebras of infinite directed graphs.
References
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Additional Information
  • Jack Spielberg
  • Affiliation: Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona 85287-1804
  • Email: jack.spielberg@asu.edu
  • Received by editor(s): February 19, 2001
  • Received by editor(s) in revised form: August 26, 2005
  • Published electronically: January 26, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 361 (2009), 2805-2830
  • MSC (2000): Primary 46L80; Secondary 46L85, 22A22
  • DOI: https://doi.org/10.1090/S0002-9947-09-04928-9
  • MathSciNet review: 2485409