AMENABILITY OF WEIGHTED MEASURE ALGEBRAS, By Esmaeil Feizi

Research

Title	AMENABILITY OF WEIGHTED MEASURE ALGEBRAS
Type	JournalPaper
Keywords	Amenability, measure algebra, weight
Year	2006
Journal	Iranian Journal of Science and Technology Transaction A-Science
DOI
Researchers	Esmaeil Feizi

Abstract

Let G be a locally compact group, and let ω be a weight on G. We show that the weighted measure algebra M(G,ω) is amenable if and only if G is a discrete, amenable group and sup{ω(g) ω(g−1) : g ∈ G} < ∞, where ω(g) ≥ 1 (g ∈ G) .