AF-embeddability of crossed products of Cuntz algebras

Details AF-embeddability of crossed products of Cuntz algebras AF-embeddability of crossed products of Cuntz algebras

2001-10-09

arxiv.org/abs/math/0110095v1

Mathematics

Operator Algebras

12 pages

Scientific paper

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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