Analysis of the Plancherel weight and factoriality of the group von Neumann algebras of non-unimodular almost unimodular groups

Yuki Miyamoto

Let $G$ be a locally compact group, $L(G)$ be its group von Neumann algebra equipped with the Plancherel weight $\ddot{I}{†}_G$. In this paper, we consider the following two questions. (1)…