## Vanishing up to the rank in bounded cohomology

We establish the vanishing for non-trivial unitary representations of the bounded cohomology of SLd up to degree d-1. 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.

Published in:
Mathematical Research Letters, 14, 4, 681-687
Year:
2007
Laboratories: