Lp-conjecture for locally compact groups II
β Scribed by M. Rajagopalan
- Publisher
- Springer
- Year
- 1967
- Tongue
- English
- Weight
- 611 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this Note we propose a simple definition of a locally compact quantum group in reduced form. By the word "reduced" we mean that we suppose the Haar weight to be faithful, and hence we define in fact arbitrary locally compact quantum groups represented on the L'-space of the Haar weight. We constr
Let G be a nilpotent locally compact group. The lower multiplicity M L (?) is defined for every irreducible representation ? of G, which does not form an open point in the dual space G of G. It is shown that M L (?)=1 if either G is connected or ? is finite dimensional. Conversely, for G a nilpotent