Bucher, MichelleMonod, Nicolas2019-07-042019-07-042019-07-042019-03-0110.1093/imrn/rnx096https://infoscience.epfl.ch/handle/20.500.14299/158802WOS:000472802900001It is proved that the continuous bounded cohomology of SL2(k) vanishes in all positive degrees whenever k is a non-Archimedean local field. This holds more generally for boundary-transitive groups of tree automorphisms and implies low degree vanishing for SL2 over S-integers.MathematicsThe Bounded Cohomology of SL2 Over Local Fields and S-Integerstext::journal::journal article::research article