Kazhdan's Property T for Discrete Quantum Groups

Details Kazhdan's Property T for Discrete Quantum Groups Kazhdan's Property T for Discrete Quantum Groups

2008-12-03

arxiv.org/abs/0812.0665v1

Mathematics

Operator Algebras

Scientific paper

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.

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