Measured quantum groupoids associated to proper dynamical quantum groups

  title={Measured quantum groupoids associated to proper dynamical quantum groups},
  author={Thomas Timmermann},
  journal={Journal of Noncommutative Geometry},
  • T. Timmermann
  • Published 28 June 2012
  • Mathematics
  • Journal of Noncommutative Geometry
Dynamical quantum groups were introduced by Etingof and Varchenko in connection with the dynamical quantum Yang-Baxter equation, and measured quantum groupoids were introduced by Enock, Lesieur and Vallin in their study of inclusions of type II_1 factors. In this article, we associate to suitable dynamical quantum groups, which are a purely algebraic objects, Hopf C*-bimodules and measured quantum groupoids on the level of von Neumann algebras. Assuming invariant integrals on the dynamical… 

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