Kazhdan's Property T for Discrete Quantum Groups
Operator Algebras
2008-12-04 v1
Abstract
We give a simple definition of property T for discrete quantum groups. We prove the basic expected properties: discrete quantum groups with property T are finitely generated and unimodular. Moreover we show that, for "I.C.C." discrete quantum groups, property T is equivalent to Connes' property T for the dual von Neumann algebra. This allows us to give the first example of a property T discrete quantum group which is not a group using the twisting construction.
Cite
@article{arxiv.0812.0665,
title = {Kazhdan's Property T for Discrete Quantum Groups},
author = {Pierre Fima},
journal= {arXiv preprint arXiv:0812.0665},
year = {2008}
}