## 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

### Keywords:

groupoids; *-algebras; *-representations; Morita equivalence
Full Text:

### References:

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