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Vanishing up to the rank in bounded cohomology

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Published in Mathematical Research Letters. 2007, vol. 14, no. 4, p. 681-687
Abstract We establish the vanishing for non-trivial unitary representations of the bounded cohomology of SL_d up to the rank. It holds more generally for uniformly bounded representations on superreflexive spaces. The same results are obtained for lattices. We also prove that the real bounded cohomology of any lattice is invariant in the same range.
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MONOD, Nicolas. Vanishing up to the rank in bounded cohomology. In: Mathematical Research Letters, 2007, vol. 14, n° 4, p. 681-687. https://archive-ouverte.unige.ch/unige:9787

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Deposited on : 2010-07-29

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