Publikationen

Lehrbuch

• An invitation to quantum groups and duality
  Textbooks in Mathematics, European Mathematical Society (EMS), Zürich, xx+407, 2008. doi

Vorveröffentlichungen

• A Note on the Quantum Family of Maps
  mit Albert Jeu-Liang Sheu. arXiv, 2018. arXiv

Fachzeitschriften

• Partial actions of C*-quantum groups I: Restriction and Globalization
  mit Franziska Kraken und Paula Quast. Banach J. Math. Analysis, 12(4):843-872, 2018. doi arXiv
• The maximal quantum group-twisted tensor product of C*-algebras
  mit Sutanu Roy. J. Noncommut. Geom., 12(1):279-330, 2018. doi arXiv
• Multiplier Hopf algebroids
  mit Alfons Van Daele. Comm. in Algebra, 46(5):1926-1958, 2018. doi arXiv
• On duality of algebraic quantum groupoids
  Adv. Math., 309:692-746, 2017. doi arXiv
• Measured quantum transformation groupoids
  mit Michel Enock. J. Noncommut. Geom., 10(3):1143-1214, 2016. doi arXiv
• Integration on algebraic quantum groupoids
  Internat. J. Math., 27(2):1650014, 72, 2016. doi arXiv
• Partial compact quantum groups
  mit Kenny De Commer. J. Algebra, 438:283-324, 2015. doi arXiv
• Multiplier Hopf algebroids arising from weak multiplier Hopf algebras
  mit Alfons Van Daele. Banach Center Publ., 106:73-110, 2015. doi arXiv
• Measured quantum groupoids associated to proper dynamical quantum groups
  J. Noncommut. Geom., 9(1):35-82, 2015. doi arXiv
• Free dynamical quantum groups and the dynamical quantum group SU(2)
  Banach Center Publ., 98:311-341, 2012. doi arXiv
• The relative tensor product and a minimal fiber product in the setting of C*-algebras
  J. Operator Theory, 68(2):365-404, 2012. arXiv
• Coactions of Hopf C*-bimodules
  J. Operator Theory, 68(1):19-66, 2012. arXiv
• C*-pseudo-multiplicative unitaries, Hopf C*-bimodules and their Fourier algebras
  J. Inst. Math. Jussieu, 11(1):189-220, 2012. doi arXiv
• The Fell compactification and non-Hausdorff groupoids
  Math. Z., 269(3-4):1105-1111, 2011. doi arXiv
• A definition of compact C*-quantum groupoids
  Contemp. Math., 503:267-289, 2009. doi arXiv
• Pseudo-multiplicative unitaries on C*-modules and Hopf C*-families
  J. Noncommut. Geom., 1(4):497-542, 2007. doi

Abschlussarbeiten

• Contributions to the Theory of Quantum Groupoids in the Setting of C*-algebras
  Habilitationsschrift, Fachbereich Mathematik und Informatik, WWU Münster, 2013.
• Pseudo-multiplicative unitaries and pseudo-Kac systems on C*-modules
  Dissertation, Fachbereich Mathematik und Informatik, WWU Münster, 2005.
• Beispiele eindimensionaler nichtkommutativer simplizialer Komplexe und ihre K-Gruppen
  Diplomarbeit, Fachbereich Mathematik und Informatik, WWU Münster, 2002.
• K-theory and representations
  Part III essay, Cambridge, GB, 2001.