We develop the twisting construction for locally compact quantum groups. A new feature, in contrast to the previous work of M. Enock and the second author, is a non-trivial deformation of the Haar measure. Then we construct Rieffel's deformation of locally compact quantum groups and show that it is dual to the twisting. This allows to give new interesting concrete examples of locally compact quantum groups, in particular, deformations of the classical $az+b$ group and of the Woronowicz' quantum $az+b$ group.
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机译:我们为局部紧凑的量子群开发了扭曲结构。与M. Enock和第二作者的先前工作相比,新功能是Haar度量的非平凡变形。然后我们构造了局部紧凑量子群的Rieffel变形,并证明了它对扭曲是双重的。这允许给出局部紧凑量子群的新的有趣的具体例子,特别是经典的$ az + b $群和Woronowicz的量子$ az + b $群的变形。
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