Abstract
The note presents a further study of the class of Cuntz–Krieger-type algebras. A necessary and sufficient condition is identified that ensures that the algebra is purely infinite, the ideal structure is studied, and nuclearity is proved by presenting the algebra as a crossed product of an AF-algebra by an abelian group. The results are applied to examples of Cuntz–Krieger-type algebras such as higher rank semigraph C*-algebras and higher rank Exel–Laca algebras.
| Original language | English |
|---|---|
| Pages (from-to) | 386-397 |
| Number of pages | 12 |
| Journal | Annals of Functional Analysis |
| Volume | 8 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 09 May 2017 |
