### 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 language | English |
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Pages (from-to) | 692-706 |

Number of pages | 15 |

Journal | Illinois Journal of Mathematics |

Volume | 43 |

Publication status | Published - 1999 |

### Keywords

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

## Cite this

Archbold, R. J., & Kaniuth, E. (1999). Upper and lower multiplicity for irreducible representations of SIN-groups.

*Illinois Journal of Mathematics*,*43*, 692-706.