Abstract
This 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 -algebras and higher-rank Exel–Laca algebras.
Citation
Bernhard Burgstaller. D. Gwion Evans. "On certain properties of Cuntz–Krieger-type algebras." Ann. Funct. Anal. 8 (3) 386 - 397, August 2017. https://doi.org/10.1215/20088752-2017-0004
Information