A groupoid picture of the elek algebras

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

  • Clemens Borys

We reformulate a construction by Gabor Elek, which associates C*-algebras with uniformly recurrent subgroups, in the language of groupoid C*-algebras. This allows us to simplify several proofs from the original paper and add the converse direction to Elek's characterisation of nuclearity, showing that his sufficient condition is in fact necessary.We furthermore relate our groupoids to the dynamics of the group acting on its uniformly recurrent subgroup.

OriginalsprogEngelsk
TidsskriftMathematica Scandinavica
Vol/bind127
Udgave nummer2
Sider (fra-til)185-208
Antal sider24
ISSN0025-5521
DOI
StatusUdgivet - aug. 2021

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