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

Michel Enock

Banach Center Publications (2012)

  • Volume: 98, Issue: 1, page 107-198
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Michel Enock. "Morita equivalence of measured quantum groupoids. Application to deformation of measured quantum groupoids by 2-cocycles." Banach Center Publications 98.1 (2012): 107-198. <http://eudml.org/doc/281977>.

@article{MichelEnock2012,
abstract = {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.},
author = {Michel Enock},
journal = {Banach Center Publications},
keywords = {measured quantum groupoids; Morita equivalence; 2-cocycles},
language = {eng},
number = {1},
pages = {107-198},
title = {Morita equivalence of measured quantum groupoids. Application to deformation of measured quantum groupoids by 2-cocycles},
url = {http://eudml.org/doc/281977},
volume = {98},
year = {2012},
}

TY - JOUR
AU - Michel Enock
TI - Morita equivalence of measured quantum groupoids. Application to deformation of measured quantum groupoids by 2-cocycles
JO - Banach Center Publications
PY - 2012
VL - 98
IS - 1
SP - 107
EP - 198
AB - 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.
LA - eng
KW - measured quantum groupoids; Morita equivalence; 2-cocycles
UR - http://eudml.org/doc/281977
ER -

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