On certain properties of Cuntz--Krieger type algebras
Operator Algebras
2017-10-18 v1
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 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 -algebras and higher rank Exel-Laca algebras.
Keywords
Cite
@article{arxiv.1111.4399,
title = {On certain properties of Cuntz--Krieger type algebras},
author = {Bernhard Burgstaller},
journal= {arXiv preprint arXiv:1111.4399},
year = {2017}
}