Normed Amenability and Bounded Cohomology over Non-Archimedean Fields
Normed Amenability and Bounded Cohomology over Non-Archimedean Fields
We study continuous bounded cohomology of totally disconnected locally compact groups with coefficients in a non-Archimedean valued field <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper K"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">K</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathbb {K}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. To capture the features of classical amenability that induce the vanishing of bounded …