The stable rank of some free product C*-algebras
| dc.creator | Dykema, Ken | |
| dc.creator | Haagerup, Uffe | |
| dc.creator | Rordam, Mikael | |
| dc.date | 1996-08-09 | |
| dc.date | 1996-09-12 | |
| dc.date.accessioned | 2026-07-07T09:02:56Z | |
| dc.date.available | 2026-07-07T09:02:56Z | |
| dc.description | It is proved that the reduced group C*-algebra C*_{red}(G) has stable rank one (i.e. its group of invertible elements is a dense subset) if G is a discrete group arising as a free product G_1*G_2 where |G_1|>=2 and |G_2|>=3. This follows from a more general result where it is proved that if (A,tau) is the reduced free product of a family (A_i,tau_i), i\in I, of unital C*-algebras A_i with normalized faithful traces tau_i, and if the family satisfies the Avitzour condition (i.e. the traces, tau_i, are not too lumpy in a specific sense), then A has stable rank one. | |
| dc.description | 30 pages, Latex. This revision includes an extra section where the special case of the reduced C*-algebra of the free group on two generators is considered separately. This has the advantage of making the main ideas more transparent | |
| dc.identifier | https://arxiv.org/abs/funct-an/9608001 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9608001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148817 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | The stable rank of some free product C*-algebras | |
| dc.type | text |