Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings

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.

15 pages

References in corpus (2)

• Automorphism groups of right-angled buildings: simplicity and local splittings
• Decomposition Theorems for Automorphism Groups of Trees