AF-embeddability of crossed products of Cuntz algebras
نویسنده
چکیده
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.
منابع مشابه
On the AF Embeddability of Crossed Products of AF Algebras by the Integers
This paper is concerned with the question of when the crossed product of an AF algebra by an action of Z is itself AF embeddable. It is well known that quasidiagonality and stable finiteness are hereditary properties. That is, if A and B are C-algebras with A ⊂ B and B has either of these properties, then so does A. Since AF algebras enjoy both of these properties we have that quasidiagonality ...
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