New Presentations of Thompson's Groups and Applications
| dc.creator | Haagerup, Uffe | |
| dc.creator | Picioroaga, Gabriel | |
| dc.date | 2008-12-01 | |
| dc.date.accessioned | 2026-07-07T12:08:05Z | |
| dc.date.available | 2026-07-07T12:08:05Z | |
| dc.description | We find new presentations for the Thompson's groups $F$, the derived group $F^{'}$ and the intermediate group $D$. These presentations have a common ground in that their relators are the same and only the generating sets differ. As an application of these presentations we extract the following consequences: the cost of the group $F^{'}$ is 1 hence the cost cannot decide the (non)amenability question of $F$; the $II_1$ factor $L(F^{'})$ is inner asymptotically abelian and the reduced $C^*$-algebra of $F$ is not residually finite dimensional. | |
| dc.identifier | https://arxiv.org/abs/0812.0037 | |
| dc.identifier | http://arxiv.org/abs/0812.0037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209197 | |
| dc.subject | Group Theory | |
| dc.subject | Operator Algebras | |
| dc.title | New Presentations of Thompson's Groups and Applications | |
| dc.type | text |