关于扭和无挠的离散量子群概念的注记
A remark on twists and the notion of torsion-free discrete quantum groups
摘要：
本文研究了约化局部紧量子群的扭性。引入了约化交叉积上对偶余作用的扭，证明了扭对偶余作用满足一类Takesaki-Takai对偶。扭曲的Takesaki-Takai对偶性意味着离散的、无挠的量子群的扭曲是无挠的无挠的。研究了半单紧李群的余圈扭曲，得到了包含在Drinfeld-Jimbo代数中的局部紧量子群，给出了半单紧李群的Woronowicz变形的对偶概念.证明了只要李群是单连通的，这些上圈扭曲是无挠的。
英文摘要：
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.
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