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arXiv · 2112.11744

Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings

Max Carter·George A. Willis
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Abstract

We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions that a large class of totally disconnected locally compact groups acting on trees and buildings have the property that every continuous homomorphic image of the group is closed.

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Max Carter, George A. Willis. 2021-12-22. Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings. https://doi.org/10.1007/s00605-022-01690-5

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