Abstract
Given a locally compact étale groupoid and an ideal I in its groupoid C⁎-algebra, we show that I defines a family of ideals in group C⁎-algebras of the isotropy groups and then study to which extent I is determined by this family. As an application we obtain the following results: (a) prove that every proper ideal is contained in an induced primitive ideal; (b) describe the maximal ideals; (c) classify the primitive ideals for a class of graded groupoids with essentially central isotropy.
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