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arxiv: 1507.06091 · v1 · pith:OEBIUSKEnew · submitted 2015-07-22 · 🧮 math.OA

Semiprojectivity for Kirchberg algebras

Dominic Enders This is my paper
classification 🧮 math.OA
keywords kirchbergalgebraonlysemiprojectivealgebrasblackadarconjecturefinitely
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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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