Mini-Workshop: Operator Algebraic Quantum Groups

  • Michael Brannan

    Texas A&M University, College Station, USA
  • Martijn Caspers

    Delft University of Technology, Netherlands
  • Moritz Weber

    Universität des Saarlandes, Saarbrücken, Germany
  • Anna Wysoczańska-Kula

    University of Wroclaw, Poland
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Abstract

This mini-workshop brought together a rich and varied cross-section of young and active researchers working on operator algebraic aspects of quantum group theory. The primary goals of this meeting were to highlight the state-of-the-art results on the subject and to trigger new research by advertising some of the main open directions in operator algebraic quantum group theory: classification problems for C*- and von Neumann algebras, relations to free/non-commutative probability, applications in quantum information theory, and the creation of new quantum groups and potential classification results for subclasses of quantum groups.

Cite this article

Michael Brannan, Martijn Caspers, Moritz Weber, Anna Wysoczańska-Kula, Mini-Workshop: Operator Algebraic Quantum Groups. Oberwolfach Rep. 16 (2019), no. 4, pp. 2821–2867

DOI 10.4171/OWR/2019/45