Topological models of finite type for tree almost automorphism groups

2015/10/19 by Sauer, Roman, Thumann, Werner
#20E08 #22D05 #55R35 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1510.05554

Abstract

We show that tree almost automorphism groups, including Neretin groups, satisfy the analogue of the F_∞-finiteness condition in the world of totally disconnected groups: They possess a cellular action on a contractible cellular complex such that the stabilizers are open and compact and the restriction of the action on each n-skeleton is cocompact.

Related

• Coloured Neretin Groups
• Compact presentability of tree almost automorphism groups
• Dynamical Tits alternative for groups of almost automorphisms of trees
• Automorphism Groups of Trees: Generalities and Prescribed Local Actions
• Pattern closure of groups of tree automorphisms