  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 applied
to semigraph algebras, 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.
