64 citations · 125 across the 16 of their papers we have counts for
22 papers
The approximation property for locally compact quantum groups
Matthew Daws, Jacek Krajczok, Christian Voigt
We study the Haagerup--Kraus approximation property for locally compact quantum groups, generalising and unifying previous work by Kraus--Ruan and Crann. Along the way we discuss h…
Infinite quantum permutations
Christian Voigt
We define and study quantum permutations of infinite sets. This leads to discrete quantum groups which can be viewed as infinite variants of the quantum permutation groups introduc…
Hecke algebras and the Schlichting completion for discrete quantum groups
Adam Skalski, Roland Vergnioux, Christian Voigt
We introduce Hecke algebras associated to discrete quantum groups with commensurated quantum subgroups. We study their modular properties and the associated Hecke operators. In ord…
On bicolimits of -categories
Jamie Antoun, Christian Voigt
We discuss a number of general constructions concerning additive -categories, focussing in particular on establishing the existence of bicolimits. As an illustration of our…
On the assembly map for complex semisimple quantum groups
Christian Voigt
We show that complex semisimple quantum groups, that is, Drinfeld doubles of -deformations of compact semisimple Lie groups, satisfy a categorical version of the Baum-Connes c…
The Plancherel formula for complex semisimple quantum groups
Christian Voigt, Robert Yuncken
We calculate the Plancherel formula for complex semisimple quantum groups, that is, Drinfeld doubles of -deformations of compact semisimple Lie groups. As a consequence we obt…