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

• Autorzy: Michel Enock
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L55: Noncommutative dynamical systems
• 46L89: Other ``noncommutative'' mathematics based on C * -algebra theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 98
• Numer: 1
• Strony: 107-198

Daty

wydano

2012

Twórcy

autor

Michel Enock

• Institut de Mathématiques de Jussieu, Unité Mixte Paris 6 / Paris 7 / CNRS Unité de Recherche 7586, Case 247, 4 place Jussieu, 75252 Paris Cedex, France

Identyfikatory

DOI

10.4064/bc98-0-6