The ideal structures of crossed products of Cuntz algebras by quasi-free actions of abelian groups

Takeshi Katsura

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The ideal structures of crossed products of Cuntz algebras by quasi-free actions of abelian groups

Takeshi Katsura

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Abstract

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.

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Takeshi Katsura. 2001-08-07. The ideal structures of crossed products of Cuntz algebras by quasi-free actions of abelian groups. https://arxiv.org/abs/math/0108047

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