Property RD and hypercontractivity for orthogonal free quantum groups
Operator Algebras
2021-02-15 v2
Abstract
We prove that the twisted property RD fails to hold for all non Kac type, non amenable orthogonal free quantum groups. In the Kac case we revisit property RD, proving an analogue of the non-commutative Khintchine inequality for free groups. As an application, we give new and improved hypercontractivity and ultracontractivity estimates for the generalized heat semigroups on free orthogonal quantum groups, both in the Kac and non Kac cases.
Cite
@article{arxiv.1911.04682,
title = {Property RD and hypercontractivity for orthogonal free quantum groups},
author = {Michael Brannan and Roland Vergnioux and Sang-Gyun Youn},
journal= {arXiv preprint arXiv:1911.04682},
year = {2021}
}
Comments
21pages