K-amenability for amalgamated free products of amenable discrete quantum groups |
| |
Authors: | Roland Vergnioux |
| |
Institution: | Project Algebres d'Operateurs, Institut de Mathematiques, 175 rue du Chevaleret, Paris 75013, France |
| |
Abstract: | 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 useful 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. |
| |
Keywords: | 2000: 20G42 (46L80 19K35 46L09 58B32) |
本文献已被 ScienceDirect 等数据库收录! |