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1. CJM 2003 (vol 55 pp. 1302)
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The Ideal Structures of Crossed Products of Cuntz Algebras by Quasi-Free Actions of Abelian Groups 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.
Categories:46L05, 46L55, 46L45 |
2. CJM 1998 (vol 50 pp. 323)
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Purely infinite, simple $C^\ast$-algebras arising from free product constructions Examples of simple, separable, unital, purely infinite
$C^\ast$-algebras are constructed, including:
\item{(1)} some that are not approximately divisible;
\item{(2)} those that arise as crossed products of any of a certain class of
$C^\ast$-algebras by any of a certain class of non-unital endomorphisms;
\item{(3)} those that arise as reduced free products of pairs of
$C^\ast$-algebras with respect to any from a certain class of states.
Categories:46L05, 46L45 |