Abstract
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.
Citation
Shinzô KAWAMURA. Jun TOMIYAMA. "Properties of Topological Dynamical Systems and Corresponding $C^*$-Algebras." Tokyo J. Math. 13 (2) 251 - 257, December 1990. https://doi.org/10.3836/tjm/1270132260
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