Properties of Topological Dynamical Systems and Corresponding $C^*$-Algebras

KAWAMURA, Shinzô; TOMIYAMA, Jun

Tokyo J. of Math., Tome 13 (1990) no. 2, p. 251-257 / Harvested from Project Euclid

Résumé

We show the equivalence of a certain property of topological dynamical systems $\Sigma=(X,G)$ and a particular structure of ideals in the corresponding crossed product $A(\Sigma)=C(X)\underset{\alpha}{\rtimes}G$ where $X$ is a compact set and $G$ is a discrete group. As an application, we give a complete characterization for $A(\Sigma)$ to be simple.

Publié le : 1990-12-15
Classification:

@article{1270132260,
     author = {KAWAMURA, Shinz\^o and TOMIYAMA, Jun},
     title = {Properties of Topological Dynamical Systems and Corresponding $C^*$-Algebras},
     journal = {Tokyo J. of Math.},
     volume = {13},
     number = {2},
     year = {1990},
     pages = { 251-257},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270132260}
}

KAWAMURA, Shinzô; TOMIYAMA, Jun. Properties of Topological Dynamical Systems and Corresponding $C^*$-Algebras. Tokyo J. of Math., Tome 13 (1990) no. 2, pp.  251-257. http://gdmltest.u-ga.fr/item/1270132260/