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

2011/06/06 by Enock, Michel
#46L89 #58B32 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1106.1018

Abstract

In a recent article of Kenny De Commer, was investigated a 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.

Related

• Locally compact quantum groupoid
• Measured quantum groupoids
• Measured quantum groupoids
• Measured Quantum Groupoids Associated with Matched Pairs of Locally Compact Groupoids
• Measured quantum groupoids with a central basis