Ordered invariant ideals of fourier-stieltjes algebras

Steven Kaliszewski, Magnus B. Landstad, John Quigg

Research output: Contribution to journalArticle

Abstract

For a locally compact group G, every G-invariant subspace E of the Fourier-Stieltjes algebra B(G) gives rise to the following two ideals of the group C-algebra C(G): the intersection of the kernels of the representations with many coefficient functions in E, and the preannihilator of E. We investigate the question of whether these two ideals coincide. This leads us to define and study two properties of E — ordered and weakly ordered — that measure how many positive definite functions E contains.

Original languageEnglish (US)
Pages (from-to)1039-1055
Number of pages17
JournalNew York Journal of Mathematics
Volume24
StatePublished - Oct 23 2018

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Group C*-algebra
Positive Definite Functions
Algebra
Invariant
Locally Compact Group
Invariant Subspace
Intersection
kernel
Coefficient

Keywords

  • Coaction
  • Fourier-stieltjes algebra
  • Locally compact group
  • Positive definite function

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ordered invariant ideals of fourier-stieltjes algebras. / Kaliszewski, Steven; Landstad, Magnus B.; Quigg, John.

In: New York Journal of Mathematics, Vol. 24, 23.10.2018, p. 1039-1055.

Research output: Contribution to journalArticle

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