Abstract
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.
Details
Title
Vanishing up to the rank in bounded cohomology
Author(s)
Monod, Nicolas
Published in
Mathematical Research Letters
Volume
14
Issue
4
Pages
681-687
Date
2007
Laboratories
EGG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > EGG - Chair of ergodic and geometric group theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work outside EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work outside EPFL
Journal Articles
Published
Record creation date
2008-10-29