论文标题

可融合的可融合的离散量子组的k肯定性

K-amenability for amalgamated free products of amenable discrete quantum groups

论文作者

Vergnioux, Roland

论文摘要

关于交叉产品的模棱两可的KK理论的基本概念和结果可以扩展到局部紧凑的量子组的情况。我们回想起这些结构,并证明了亚组和离散量子组的免费产品的一些有用的特性。使用这些特性和低音 - 塞雷树的量子类似物,我们建立了可正约离散量子基团合并的免费产品的K典型性。

The basic notions and results of equivariant KK-theory concerning crossed products can be extended to the case of locally compact quantum groups. We recall these constructions and prove some usefull properties of subgroups and amalgamated free products of discrete quantum groups. Using these properties and a quantum analogue of the Bass-Serre tree, we establish the K-amenability of amalgamated free products of amenable discrete quantum groups.

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