PreprintarXiv licencearXiv
Free groups amenably act on unital simple AF-algebras
Abstract
We show that free groups admit amenable actions on unital simple AF-algebras. This settles, for free groups, the last remaining case of the existence problem for amenable actions of non-amenable groups on classifiable simple C*-algebras. The proof relies on the Baire category theorem. This result was obtained with substantial assistance from GPT-6 Astra.
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BibTeX
@misc{suzuki2026free,
title = {{Free groups amenably act on unital simple AF-algebras}},
author = {Yuhei Suzuki},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.01460},
eprint = {2610.01460},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.01460},
}
RIS
TY - UNPB
TI - Free groups amenably act on unital simple AF-algebras
AU - Yuhei Suzuki
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.01460
UR - https://arxiv.org/abs/2610.01460
AB - We show that free groups admit amenable actions on unital simple AF-algebras. This settles, for free groups, the last remaining case of the existence problem for amenable actions of non-amenable groups on classifiable simple C*-algebras. The proof relies on the Baire category theorem. This result was obtained with substantial assistance from GPT-6 Astra.
ER -