# Measured quantum groupoids associated to proper dynamical quantum groups

@article{Timmermann2015MeasuredQG, title={Measured quantum groupoids associated to proper dynamical quantum groups}, author={Thomas Timmermann}, journal={Journal of Noncommutative Geometry}, year={2015}, volume={9}, pages={35-82} }

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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