The group ring $\mathbb{K}F$ of Richard Thompson’s Group $F$ has no minimal non-zero ideals

John Donnelly

Address: Department of Mathematics, University of Southern Indiana, 8600 University Boulevard, Evansville, Indiana 47712

E-mail: jrdonnelly@usi.edu

Abstract: We use a total order on Thompson’s group $F$ to show that the group ring $\mathbb{K}F$ has no minimal non-zero ideals.

AMSclassification: primary 20N99.

Keywords: Thompson’s Group F, amenability, minimal ideal.

DOI: 10.5817/AM2019-1-23