Sofic actions on graphs

D Gao, G Patchell, SK Elayavalli - arXiv preprint arXiv:2408.15470, 2024 - arxiv.org
We develop a theory of soficity for actions on graphs and obtain new applications to the
study of sofic groups. We establish various examples, stability and permanence properties of …

All actions of LERF groups on sets are sofic

D Gao - arXiv preprint arXiv:2402.17150, 2024 - arxiv.org
In [GKEP24], a notion of sofic actions on sets, heavily inspired by [HS18], was introduced
and applications to proving soficity of generalized wreath products were presented. In it, two …