Semiprojectivity for Kirchberg algebras

preprint2015arXivOpen access

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.

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