Semiprojectivity for Kirchberg algebras

Abstract

We show that a Kirchberg algebra is semiprojective if and only if it is KK-semiprojective. In particular, this shows that a Kirchberg algebra in the UCT-class is semiprojective if and only if its K-theory is finitely generated, thereby giving a positive solution to a longstanding conjecture by Blackadar.

11 pages

References in corpus (2)

• Approximate Homotopy of Homomorphisms from $C(X)$ into a Simple $C^{\ast }$-algebra
• Lifting Commutation Relations in Cuntz Algebras

Cited by in corpus (5)

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• Equivariant Dimensions of Graph C*-algebras
• Lifting Commutation Relations in Cuntz Algebras
• Inductive limits of semiprojective C*-algebras
• Semiprojectivity and properly infinite projections in graph C*-algebras