Subalgebras generated by extreme points in Fourier-Stieltjes algebras of locally compact groups

• Autorzy: Michael Yin-hei Cheng
• Języki publikacji: EN

Abstrakty

EN

Let G be a locally compact group, G* be the set of all extreme points of the set of normalized continuous positive definite functions of G, and a(G) be the closed subalgebra generated by G* in B(G). When G is abelian, G* is the set of Dirac measures of the dual group Ĝ, and a(G) can be identified as l¹(Ĝ). We study the properties of a(G), particularly its spectrum and its dual von Neumann algebra.

Kategorie tematyczne

• 43A30: Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
• 46J10: Banach algebras of continuous functions, function algebras
• 43A40: Character groups and dual objects
• 43A35: Positive definite functions on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 202
• Numer: 3
• Strony: 289-302

Daty

wydano

2011

Twórcy

autor

Michael Yin-hei Cheng

• Department of Pure Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada

Identyfikatory

DOI

10.4064/sm202-3-5