Characterizations of Amenable Lau Algebras

In this paper, among the other things, we establish a characterization of a left amenable Lau algebra (which includes the group algebra and the Fourier algebra of a locally compact group and quantum group algebras, or more generally the predual algebra of a Hopf von Neumann algebra) in terms of the Hahn–Banach property. We prove a variety of characterizations of left amenable Lau algebras. We give sufficient conditions and some necessary conditions for a Lau algebra to have a topological left invariant mean.

کلیدواژه ها:

Amenability ، Banach algebras ، Group algebras ، Hahn Banach theorem ، Lau algebras ، Hypergroup algebras ، Topological left invariant mean