A groupoid picture of the elek algebras
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Mathematica Scandinavica |
Volume | 127 |
Issue number | 2 |
Pages (from-to) | 185-208 |
Number of pages | 24 |
ISSN | 0025-5521 |
DOIs | |
Publication status | Published - 2021 |
Bibliographical note
Publisher Copyright:
© 2021 Mathematica Scandinavica. All rights reserved.
Links
- https://arxiv.org/pdf/1908.01329.pdf
Submitted manuscript
ID: 284294861