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Purely infinite, simple $C^\ast$-algebras arising from free product constructions |
Canad. J. Math. 50(1998), 323-341
Published:1998-04-01
Printed: Apr 1998
Printed: Apr 1998
- Kenneth J. Dykema
- Mikael Rørdam
Abstract
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.
| MSC Classifications: |
46L05 - General theory of $C^*$-algebras 46L45 - Decomposition theory for $C^*$-algebras |