The Ideal Structures of Crossed Products of Cuntz Algebras by Quasi-Free Actions of Abelian Groups

[摘要] We completely determine the ideal structures of the crossedproducts of Cuntz algebras by quasi-free actions of abelian groupsand give another proof of A.~Kishimoto's result on the simplicityof such crossed products. We also give a necessary and sufficientcondition that our algebras become primitive, and compute theConnes spectra and $K$-groups of our algebras.

[学科分类] 数学（综合）