@article{a34a032f35aa4de69433e31384e9cce1,
title = "AF-embeddability of crossed products of Cuntz algebras",
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 = "AF-embedding, Crossed product, Cuntz algebra",
author = "Takeshi Katsura",
note = "Funding Information: This work was done while the author stayed in the Mathematical Sciences Research Institute, and he expresses his gratitude to MSRI for their hospitality. The author is grateful to Masaki Izumi for various comments and many important suggestions, and to his advisor Yasuyuki Kawahigashi for his support and encouragement. This work was partially supported by Research Fellowship for Young Scientists of the Japan Society for the Promotion of Science (JSPS) and Honda Heizaemon memorial fellowship of the Japan Association for Mathematical Sciences.",
year = "2002",
month = dec,
day = "20",
doi = "10.1016/S0022-1236(02)00003-4",
language = "English",
volume = "196",
pages = "427--442",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "2",
}