K-amenability for amalgamated free products of amenable discrete quantum groups
Operator Algebras
2020-06-04 v1
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 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.
Keywords
Cite
@article{arxiv.2006.02126,
title = {K-amenability for amalgamated free products of amenable discrete quantum groups},
author = {Roland Vergnioux},
journal= {arXiv preprint arXiv:2006.02126},
year = {2020}
}
Comments
17 pages ; late posting of an old article