Title: The H-covariant strong Picard groupoid
Authors: Jansen, S ×
Waldmann, Stefan #
Issue Date: Jun-2006
Publisher: North-Holland Pub. Co.
Series Title: Journal of Pure and Applied Algebra vol:205 issue:3 pages:542-598
Abstract: 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. (c) 2005 Elsevier B.V. All rights reserved.
ISSN: 0022-4049
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Non-KU Leuven Association publications
× corresponding author
# (joint) last author

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