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dc.contributor.author
Lederle, Waltraud
dc.date.accessioned
2020-10-16T11:35:59Z
dc.date.available
2020-08-27T02:46:11Z
dc.date.available
2020-09-04T09:21:35Z
dc.date.available
2020-10-16T11:35:59Z
dc.date.issued
2020-08
dc.identifier.other
10.1007/s00208-020-02063-9
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/432776
dc.description.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.
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.subject
Primary 20B27
en_US
dc.subject
Secondary
en_US
dc.subject
20E25
en_US
dc.subject
20F38
en_US
dc.subject
22D05
en_US
dc.title
Topological full groups and t.d.l.c. completions of Thompson's V
en_US
dc.type
Journal Article
dc.date.published
2020-08-12
ethz.journal.title
Mathematische Annalen
ethz.journal.volume
378
en_US
ethz.journal.issue
3
en_US
ethz.pages.start
1415
en_US
ethz.pages.end
1434
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Heidelberg
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2020-08-27T02:46:17Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2020-10-16T11:36:11Z
ethz.rosetta.lastUpdated
2020-10-16T11:36:11Z
ethz.rosetta.versionExported
true
ethz.COinS
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