AF-embeddability of crossed products of Cuntz algebras
Operator Algebras
2007-05-23 v1
Abstract
We investigate crossed products of Cuntz algebras by quasi-free actions of abelian groups. We prove that our algebras are AF-embeddable when actions satisfy a certain condition. We also give a necessary and sufficient condition that our algebras become simple and purely infinite, and consequently our algebras are either purely infinite or AF-embeddable when they are simple.
Keywords
Cite
@article{arxiv.math/0110095,
title = {AF-embeddability of crossed products of Cuntz algebras},
author = {Takeshi Katsura},
journal= {arXiv preprint arXiv:math/0110095},
year = {2007}
}
Comments
12 pages