Topological models of finite type for tree almost automorphism groups

Roman Sauer; Werner Thumann

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arXiv · 1510.05554

Topological models of finite type for tree almost automorphism groups

Roman Sauer·Werner Thumann

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Abstract

We show that tree almost automorphism groups, including Neretin groups, satisfy the analogue of the $F_\infty$-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.

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Roman Sauer, Werner Thumann. 2015-10-19. Topological models of finite type for tree almost automorphism groups. https://arxiv.org/abs/1510.05554

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