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

  Published:2003-12-01
 Printed: Dec 2003
  • 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.
MSC Classifications: 46L05, 46L55, 46L45 show english descriptions General theory of $C^*$-algebras
Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
Decomposition theory for $C^*$-algebras
46L05 - General theory of $C^*$-algebras
46L55 - Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
46L45 - Decomposition theory for $C^*$-algebras
 

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