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

Michael Yin-hei Cheng. "Subalgebras generated by extreme points in Fourier-Stieltjes algebras of locally compact groups." Studia Mathematica 202.3 (2011): 289-302. <http://eudml.org/doc/285849>.

@article{MichaelYin2011,
abstract = {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.},
author = {Michael Yin-hei Cheng},
journal = {Studia Mathematica},
keywords = {Fourier-Stieltjes algebra; locally compact group; extreme point; spectrums},
language = {eng},
number = {3},
pages = {289-302},
title = {Subalgebras generated by extreme points in Fourier-Stieltjes algebras of locally compact groups},
url = {http://eudml.org/doc/285849},
volume = {202},
year = {2011},
}

TY - JOUR
AU - Michael Yin-hei Cheng
TI - Subalgebras generated by extreme points in Fourier-Stieltjes algebras of locally compact groups
JO - Studia Mathematica
PY - 2011
VL - 202
IS - 3
SP - 289
EP - 302
AB - 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.
LA - eng
KW - Fourier-Stieltjes algebra; locally compact group; extreme point; spectrums
UR - http://eudml.org/doc/285849
ER -