Representations of cyclic groups acting on complete simplicial fans
β Scribed by Jonathan Browder
- Book ID
- 108167300
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 190 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
We prove a homological counterpart of a conjecture of P. Baum and A. Connes, concerning K-theory for convolution C\*-algebras of p-adic groups, by calculating the periodic cyclic homology for the convolution algebra of a totally disconnected group acting properly on a building.
Let G be the split solvable Lie group acting simply transitively on a Siegel domain D. We consider irreducible unitary representations of G realized on Hilbert spaces of holomorphic functions on D. We determine all such Hilbert spaces by connecting them with positive Riesz distributions on the dual