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Morita equivalence of twisted crossed products by coactions. (English) Zbl 0815.46059
The author introduces a natural notion of strong Morita equivalence of twisted coactions on $$C^*$$-algebras and then shows that the corresponding twisted crossed product $$C^*$$-algebras are strongly Morita equivalent. This is an analogue of the notion of strong Morita equivalence of Green’s twisted actions. He also presents criteria for strong Morita equivalence of crossed products by coactions and produces a family of twisted coactions on a groupoid $$C^*$$-algebra.

##### MSC:
 46L55 Noncommutative dynamical systems
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