A remark on twists and the notion of torsion-free discrete quantum groups
Artikel i vetenskaplig tidskrift, 2012

In this paper twists of reduced locally compact quantum groups are studied. Twists of the dual coaction on a reduced crossed product are introduced and the twisted dual coactions are proved to satisfy a type of Takesaki-Takai duality. The twisted Takesaki-Takai duality implies that twists of discrete, torsion-free quantum groups are torsion-free. Cocycle twists of duals of semisimple, compact Lie are studied leading to a locally compact quantum group contained in the Drinfeld-Jimbo algebra which gives a dual notion of Woronowicz deformations for semisimple, compact Lie groups. These cocycle twists are proven to be torsion-free whenever the Lie group is simply connected.

Torsion-free quantum groups

Locally compact quantum groups

Drinfeld–Jimbo algebra

Cocycle twists


Magnus C H T Goffeng

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Algebras and Representation Theory

1386-923X (ISSN) 1572-9079 (eISSN)

Vol. 15 817-834