In a recent article, Kenny De Commer investigated Morita equivalence between locally compact quantum groups, in which a measured quantum groupoid, of basis ℂ², 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-6,
author = {Michel Enock},
title = {Morita equivalence of measured quantum groupoids. Application to deformation of measured quantum groupoids by 2-cocycles},
journal = {Banach Center Publications},
volume = {97},
year = {2012},
pages = {107-198},
zbl = {1269.46055},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-6}
}
Michel Enock. Morita equivalence of measured quantum groupoids. Application to deformation of measured quantum groupoids by 2-cocycles. Banach Center Publications, Tome 97 (2012) pp. 107-198. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-6/