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The \(H\)-covariant strong Picard groupoid. (English) Zbl 1108.53056
The authors introduce the notion of \(H\)-covariant strong Morita equivalence for *-algebras. Basic notions of an \(H\)-covariant *-representation are etablished and various groupoid morphisms between Picard groupoids are discussed. Finally, the authors realize several Morita invariants from actions of the \(H\)-covariant strong Picard groupoid.

MSC:
53D55 Deformation quantization, star products
81S10 Geometry and quantization, symplectic methods
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
16D90 Module categories in associative algebras
17B63 Poisson algebras
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