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The Ideal Structures of Crossed Products of Cuntz Algebras by Quasi-Free Actions of Abelian Groups |
Canad. J. Math. 55(2003), 1302-1338
Published:2003-12-01
Printed: Dec 2003
Printed: Dec 2003
- Takeshi Katsura
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 - General theory of $C^*$-algebras 46L55 - Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20] 46L45 - Decomposition theory for $C^*$-algebras |