The ideal structures of crossed products of Cuntz algebras by quasi-free actions of abelian groups
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- August 2001
- DOI:
- 10.48550/arXiv.math/0108047
- arXiv:
- arXiv:math/0108047
- Bibcode:
- 2001math......8047K
- Keywords:
-
- Mathematics - Operator Algebras;
- 46L55