On group algebras of R. Thompson's group $F$ (Logic, Language, Algebraic system and Related Areas in Computer Science)

Abstract

We introduced the amenability problem on R. Thompson's group F and our approach to solve it last year. In this note, we will proceed with the research. We first see a brief introduction for the amenability problem for Thompson's group F and our approach to solving the problem. After that, we introduce Guba's recent results ([7] and [8]) which include a important information for our approach to solve the problem. Finally, we consider what they suggest for our study.