Equivalence between the Morita categories of etale Lie groupoids and of locally grouplike Hopf algebroids

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dc.creatorKalisnik, J.
dc.creatorMrcun, J.
dc.date2007-03-13
dc.date.accessioned2026-07-07T12:09:07Z
dc.date.available2026-07-07T12:09:07Z
dc.descriptionAny etale Lie groupoid G is completely determined by its associated convolution algebra C_c(G) equipped with the natural Hopf algebroid structure. We extend this result to the generalized morphisms between etale Lie groupoids: we show that any principal H-bundle P over G is uniquely determined by the associated C_c(G)-C_c(H)-bimodule C_c(P) equipped with the natural coalgebra structure. Furthermore, we prove that the functor C_c gives an equivalence between the Morita category of etale Lie groupoids and the Morita category of locally grouplike Hopf algebroids.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0703374
dc.identifierhttp://arxiv.org/abs/math/0703374
dc.identifierIndag. Math. 19 (2008) 73-96
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209516
dc.subjectQuantum Algebra
dc.subjectDifferential Geometry
dc.subjectOperator Algebras
dc.subject16W30; 22A22
dc.titleEquivalence between the Morita categories of etale Lie groupoids and of locally grouplike Hopf algebroids
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