Topological models of finite type for tree almost automorphism groups

Roman Sauer; Werner Thumann

Topological models of finite type for tree almost automorphism groups

Group Theory 2015-10-20 v1 Geometric Topology

Authors: Roman Sauer , Werner Thumann

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.

Keywords

tree almost automorphism groups Neretin groups F-infinity finiteness condition totally disconnected groups cellular action contractible complex cocompact action

Cite

@article{arxiv.1510.05554,
  title  = {Topological models of finite type for tree almost automorphism groups},
  author = {Roman Sauer and Werner Thumann},
  journal= {arXiv preprint arXiv:1510.05554},
  year   = {2015}
}

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18 pages

Topological models of finite type for tree almost automorphism groups

Abstract

Keywords

Cite

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