The Inner Amenability of the Generalized Thompson Group
| dc.creator | Picioroaga, Gabriel | |
| dc.date | 2004-04-30 | |
| dc.date | 2005-03-06 | |
| dc.date.accessioned | 2026-07-07T05:07:50Z | |
| dc.date.available | 2026-07-07T05:07:50Z | |
| dc.description | In this paper we prove that the general version, F(N) of the Thompson group is inner amenable. As a consequence we generalize a result of P.Jolissaint. To do so, we prove first that F(N) together with a normal subgroup are i.c.c (infinite conjugacy classes) groups. Then, we investigate the relative McDuff property out of which we extract property $Γ$ for the group von Neumann algebras involved. By a result of E.G.Effros, F(N) follows inner amenable. | |
| dc.description | A "Background" section has been added; to appear in Proceedings of the AMS | |
| dc.identifier | https://arxiv.org/abs/math/0404552 | |
| dc.identifier | http://arxiv.org/abs/math/0404552 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71020 | |
| dc.subject | Operator Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 22D15 | |
| dc.title | The Inner Amenability of the Generalized Thompson Group | |
| dc.type | text |