A cohomological description of property (T) for quantum groups

Details A cohomological description of property (T) for quantum groups A cohomological description of property (T) for quantum groups

2010-03-26

arxiv.org/abs/1003.5181v2

Mathematics

Operator Algebras

v2: Title changed, 27 pages, to appear in J. Funct. Anal

Scientific paper

We prove a Delorme-Guichardet type theorem for discrete quantum groups
expressing property (T) of the quantum group in question in terms of its first
cohomology groups. As an application, we show that the first L^2-Betti number
of a discrete property (T) quantum group vanishes.

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