The H-Covariant Strong Picard Groupoid
| dc.creator | Jansen, Stefan | |
| dc.creator | Waldmann, Stefan | |
| dc.date | 2004-09-08 | |
| dc.date | 2005-04-25 | |
| dc.date.accessioned | 2026-07-07T05:11:56Z | |
| dc.date.available | 2026-07-07T05:11:56Z | |
| dc.description | The notion of H-covariant strong Morita equivalence is introduced for *-algebras over C = R(i) with an ordered ring R which are equipped with a *-action of a Hopf *-algebra H. This defines a corresponding H-covariant strong Picard groupoid which encodes the entire Morita theory. Dropping the positivity conditions one obtains H-covariant *-Morita equivalence with its H-covariant *-Picard groupoid. We discuss various groupoid morphisms between the corresponding notions of the Picard groupoids. Moreover, we realize several Morita invariants in this context as arising from actions of the H-covariant strong Picard groupoid. Crossed products and their Morita theory are investigated using a groupoid morphism from the H-covariant strong Picard groupoid into the strong Picard groupoid of the crossed products. | |
| dc.description | LaTeX 2e, 50 pages. Revised version with additional examples and references. To appear in JPAA | |
| dc.identifier | https://arxiv.org/abs/math/0409130 | |
| dc.identifier | http://arxiv.org/abs/math/0409130 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72411 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.title | The H-Covariant Strong Picard Groupoid | |
| dc.type | text |