Upper and lower multiplicity for irreducible representations of SIN-groups

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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

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