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Semiprojectivity for certain purely infinite $ C^*$-algebras

Author(s): Jack Spielberg
Journal: Trans. Amer. Math. Soc. 361 (2009), 2805-2830.
MSC (2000): Primary 46L80; Secondary 46L85, 22A22
Posted: January 26, 2009
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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.

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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

DOI: 10.1090/S0002-9947-09-04928-9
PII: S 0002-9947(09)04928-9
Keywords: Simple purely infinite $C^*$-algebra, semiprojectivity, graph algebra
Received by editor(s): February 19, 2001
Received by editor(s) in revised form: August 26, 2005
Posted: January 26, 2009
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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