Every countable group admits amenable actions on stably finite simple C*-algebras
Operator Algebras
2026-02-09 v2 Dynamical Systems
Group Theory
Abstract
We give the first examples of (non-amenable group) amenable actions on stably finite simple C*-algebras. More precisely, we give such actions for any countable group in an explicit way. The main ingredients of our construction are the full Fock space of the regular representation and a trace-scaling automorphism.
Keywords
Cite
@article{arxiv.2204.04480,
title = {Every countable group admits amenable actions on stably finite simple C*-algebras},
author = {Yuhei Suzuki},
journal= {arXiv preprint arXiv:2204.04480},
year = {2026}
}
Comments
Minor revisions based on referee report, 8 pages, to appear in American Journal of Mathematics