Abstract
We prove that for all local fields SLn is stable over n in terms of continuous bounded cohomology. We complement this by various computations in low degree, showing notably the vanishing of the third bounded cohomology of SLn(R) for all n. We link the corresponding vanishing for p-adic fields to a question on prime numbers
Details
Title
Stabilization for SLn in bounded cohomology
Author(s)
Monod, Nicolas
Published in
Contemporary Mathematics
Volume
347
Pages
191-202
Date
2004
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