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AF-embeddability of crossed products of Cuntz algebras

Takeshi Katsura
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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.

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Takeshi Katsura. 2001-10-09. AF-embeddability of crossed products of Cuntz algebras. https://arxiv.org/abs/math/0110095

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