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Morita equivalence of measured quantum groupoids. Application to deformation of measured quantum groupoids by 2-cocycles

Volume 98 / 2012

Michel Enock Banach Center Publications 98 (2012), 107-198 MSC: 46L89, 46L55. DOI: 10.4064/bc98-0-6

Abstract

In a recent article, Kenny De Commer investigated Morita equivalence between locally compact quantum groups, in which a measured quantum groupoid, of basis $\mathbb{C}^2$, was constructed as a linking object. Here, we generalize all these constructions and concepts to the level of measured quantum groupoids. As for locally compact quantum groups, we apply this construction to the deformation of a measured quantum groupoid by a 2-cocycle.

Authors

  • Michel EnockInstitut de Mathématiques de Jussieu
    Unité Mixte Paris 6 / Paris 7 / CNRS Unité de Recherche 7586
    Case 247, 4 place Jussieu
    75252 Paris Cedex, France
    e-mail

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