We completely determine the ideal structures of the crossed products of Cuntz algebras by quasi-free actions of abelian groups and give another proof of A. Kishimoto's result on the simplicity of such crossed products. We also give a necessary and sufficient condition that our algebras become primitive, and compute the Connes spectra and K-groups of our algebras.
AF-embeddability of crossed products of Cuntz algebras
On crossed products of the Cuntz algebra ${\mathcal O}_\infty$ by quasi-free actions of abelian groups
Crossed products by α-simple automorphisms on C*-algebras C(X,A)
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