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