Geodesic
Subalgebras generated by extreme points in Fourier–Stieltjes algebras of locally compact groups
Michael Yin-hei Cheng1
1 Department of Pure Mathematics University of Waterloo Waterloo, ON N2L 3G1, Canada
Studia Mathematica, Tome 202 (2011) no. 3, pp. 289-302 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\hat{G}$, and $a(G)$ can be identified as $l^1(\hat{G})$. We study the properties of $a(G)$, particularly its spectrum and its dual von Neumann algebra.
DOI : 10.4064/sm202-3-5
Keywords: locally compact group * set extreme points set normalized continuous positive definite functions closed subalgebra generated * abelian * set dirac measures dual group hat identified hat study properties particularly its spectrum its dual von neumann algebra

Michael Yin-hei Cheng 1

1 Department of Pure Mathematics University of Waterloo Waterloo, ON N2L 3G1, Canada 
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Michael Yin-hei Cheng. Subalgebras generated by
extreme points in Fourier–Stieltjes algebras of locally compact
groups. Studia Mathematica, Tome 202 (2011) no. 3, pp. 289-302. doi: 10.4064/sm202-3-5

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