Minimal ideals of group algebras
Volume 160 / 2004
Studia Mathematica 160 (2004), 205-229
MSC: Primary 43A20.
DOI: 10.4064/sm160-3-2
Abstract
We first study the behavior of weights on a simply connected nilpotent Lie group $G$. Then for a subalgebra $A$ of $L^1(G)$ containing the Schwartz algebra ${\mathcal S}(G)$ as a dense subspace, we characterize all closed two-sided ideals of $A$ whose hull reduces to one point which is a character.
