## Discrete group actions and the minimal primal ideal space.(English)Zbl 0901.46057

Summary: The minimal primal ideal space of a $$C^*$$-algebra $$A$$ and of a crossed product $$C^*$$-algebra $$A\times_\alpha G$$ is investigated. The question is, under what circumstances is it possible to tell whether Min-Primal $$(A\times_\alpha G)$$ is closed in the space of all proper two-sided closed ideals with the Fell topology? Positive answers are achieved in a certain class of liminal $$C^*$$-algebras with group actions that are implemented by essentially inner unitaries.

### MSC:

 46L55 Noncommutative dynamical systems 46L05 General theory of $$C^*$$-algebras
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