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Author
Date
2020-08Type
- Journal Article
ETH Bibliography
yes
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Abstract
We show that every topological full group coming from a one-sided irreducible shift of finite type, in the sense of Matui, is isomorphic to a group of tree almost automorphisms preserving an edge colouring of the tree. As an application, we prove that it admits totally disconnected, locally compact completions of arbitrary nonempty finite local prime content. The completions we construct have open, simple commutator subgroup. Our results apply to Thompson'sV, providing answers to two questions asked by Le Boudec and Wesolek. Show more
Publication status
publishedExternal links
Journal / series
Mathematische AnnalenVolume
Pages / Article No.
Publisher
SpringerSubject
Primary 20B27; Secondary; 20E25; 20F38; 22D05More
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ETH Bibliography
yes
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