Semiprojectivity for Kirchberg algebras

Semiprojectivity for Kirchberg algebras

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 Black...

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Bibliographic Details
Main Author: Enders, Dominic
Format: Journal Article
Language:English
Published: 22-07-2015
Subjects:
Mathematics - Operator Algebras
Online Access:Get full text
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Summary: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.
Bibliography:CPH-SYM-DNRF92
DOI:10.48550/arxiv.1507.06091