Permanence of approximation properties for discrete quantum groups
Operator Algebras
2014-11-18 v2 Group Theory
Quantum Algebra
Abstract
We prove several results on the permanence of weak amenability and the Haagerup property for discrete quantum groups. In particular, we improve known facts on free products by allowing amalgamation over a finite quantum subgroup. We also define a notion of relative amenability for discrete quantum groups and link it with amenable equivalence of von Neumann algebras, giving additional permanence properties.
Cite
@article{arxiv.1407.3143,
title = {Permanence of approximation properties for discrete quantum groups},
author = {Amaury Freslon},
journal= {arXiv preprint arXiv:1407.3143},
year = {2014}
}
Comments
18 pages, Ann. Inst. Fourier (2014)