Simplicity of the reduced C-*-algebras of certain Coxeter groups
| dc.creator | Fendler, Gero | |
| dc.date | 2003-08-27 | |
| dc.date.accessioned | 2026-07-07T06:32:56Z | |
| dc.date.available | 2026-07-07T06:32:56Z | |
| dc.description | Let (G,S) be a finitely generated Coxeter group, such that the Coxeter system is indecomposable and the canonical bilinear form is indefinite but non-degenerate. We show that the reduced C-*-algebra of G is simple with unique normalised trace. For an arbitrary finitely generated Coxeter group we prove the validity of a Haagerup inequality: There exist constants C>0 and a natural number L such that for a function f in l^2(G) supported on elements of length n with respect to the generating set S: || f * h || <= C(n+1)^{3/2 L} || f || || h ||, forall h in l^2(G). | |
| dc.description | 15 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0308255 | |
| dc.identifier | http://arxiv.org/abs/math/0308255 | |
| dc.identifier | Illinois Journal of Mathematics Vol.47, No. 3 (2003) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99026 | |
| dc.subject | Operator Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 43A65; 46L99, 22D25, 20F55 | |
| dc.title | Simplicity of the reduced C-*-algebras of certain Coxeter groups | |
| dc.type | text |