Work

Free groups amenably act on unital simple AF-algebras

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.01460

Author: Suzuki, Yuhei

Institution: Hokkaido University

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Hokkaido University, Japan Society for the Promotion of Science

Award: Topological dynamical systems on trace spaces and non-commutative amenable actions

OpenAlex ID: W7216222656

Cites: 3

Cited by: 1

Related to: 10