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arXiv · 1609.05013

The bounded cohomology of SL_2 over local fields and S-integers

Michelle Bucher·Nicolas Monod
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Abstract

It is proved that the continuous bounded cohomology of SL_2(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 SL_2 over S-integers.

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Michelle Bucher, Nicolas Monod. 2016-09-16. The bounded cohomology of SL_2 over local fields and S-integers. https://arxiv.org/abs/1609.05013

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