On the support of the conjugation representation for solvable locally compact groups.
On φ-inner amenable Banach algebras
Generalizing the concept of inner amenability for Lau algebras, we define and study the notion of φ-inner amenability of any Banach algebra A, where φ is a homomorphism from A onto ℂ. Several characterizations of φ-inner amenable Banach algebras are given.