Order Structure of the Figà-Talamanca-Herz Algebra. (30th May 2011)

• Record Type: Journal Article
• Authors: Shams Yousefi, Marzieh; Amini, Massoud; Sady, Fereshteh
• Other Names: Matveev V. S. Academic Editor.; Previato E. Academic Editor.
• Is Part Of: ISRN geometry. Volume 2011(2011)
• Publication Date: 2011-05-30
• Subjects: Geometry -- Periodicals; Topology -- Periodicals; Geometry; Topology; Periodicals; 516
• DOI: 10.5402/2011/531023
• Languages: English
• ISSNs: 2090-6307

Abstract

Abstract : We study the interplay between the order structure and thep -operator space structure of Figà-Talamanca-Herz algebraA p (G) of a locally compact groupG . We show that for amenable groups, an order and algebra isomorphism of Figà-Talamanca-Herz-algebras yields an isomorphism or anti-isomorphism of the underlying groups. We also give a bound for the norm of ap -completely positive linear map from Figà-Talamanca-Herz algebra to its dual space.