Publication date:
7 September 2017
Source:Advances in Mathematics, Volume 317
Author(s): Søren Eilers, Takeshi Katsura
We give a complete description of which unital graph $C^{⁎}$-algebras are semiprojective, and use it to disprove two conjectures by Blackadar. To do so, we perform a detailed analysis of which projections are properly infinite in such $C^{⁎}$-algebras.