Upper and lower multiplicity for irreducible representations of SIN-groups

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The main purpose of the paper is to establish formulae for both the upper and the lower multiplicity of an irreducible representation of a Moore group. Moreover, we show that for a group with small invariant neighbourhoods of the identity, the set of irreducible representations with finite upper multiplicity coincides with the dual of a quotient group.

Original languageEnglish
Pages (from-to)692-706
Number of pages15
JournalIllinois Journal of Mathematics
Volume43
Publication statusPublished - 1999

Keywords

  • C-ASTERISK-ALGEBRAS
  • NILPOTENT LIE GROUP
  • BOUNDED TRACE

Cite this

Upper and lower multiplicity for irreducible representations of SIN-groups. / Archbold, Robert J; Kaniuth, E .

In: Illinois Journal of Mathematics, Vol. 43, 1999, p. 692-706.

Research output: Contribution to journalArticle

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AB - The main purpose of the paper is to establish formulae for both the upper and the lower multiplicity of an irreducible representation of a Moore group. Moreover, we show that for a group with small invariant neighbourhoods of the identity, the set of irreducible representations with finite upper multiplicity coincides with the dual of a quotient group.

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KW - BOUNDED TRACE

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JO - Illinois Journal of Mathematics

JF - Illinois Journal of Mathematics

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