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

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

2001-08-07

arxiv.org/abs/math/0108047v1

Mathematics

Operator Algebras

Scientific paper

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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