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