Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on twists and the notion of torsion-free discrete quantum
  groups   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.

7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs