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Weak Semiprojectivity for Purely Infinite C*-Algebras

Published online by Cambridge University Press:  20 November 2018

Jack Spielberg
Jack Spielberg*
Affiliation:
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804, U.S.A.. e-mail: jack.spielberg@asu.edu
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Abstract

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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.

Keywords

46L0522A2246L80Kirchberg algebraweak semiprojectivitygraphC*-algebra

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 3 , 01 September 2007 , pp. 460 - 468
Copyright
Copyright © Canadian Mathematical Society 2007

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