Every countable group admits amenable actions on stably finite simple C∗-algebras
Abstract
abstract: We give the first examples of (non-amenable group) amenable actions on stably finite simple $\mathrm{C}^\ast$-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.
Fields of Study & Subjects
Advanced Operator Algebra Research
Random Matrices and Applications
Holomorphic and Operator Theory
Publication details
- Journal / source
- American Journal of Mathematics
- Publisher
- Project MUSE
- Volume
- 148
- Issue
- 1
- Pages
- 69–77
- Publication date
- 23 January 2026
- Language
- EN