English

Semiprojectivity for Kirchberg algebras

Operator Algebras 2015-07-23 v1

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.

Keywords

Cite

@article{arxiv.1507.06091,
  title  = {Semiprojectivity for Kirchberg algebras},
  author = {Dominic Enders},
  journal= {arXiv preprint arXiv:1507.06091},
  year   = {2015}
}

Comments

11 pages

R2 v1 2026-06-22T10:16:14.037Z