The von Neumann Algebra of the Canonical Equivalence Relation of the Generalized Thompson Group
| dc.creator | Dutkay, Dorin | |
| dc.creator | Picioroaga, Gabriel | |
| dc.date | 2004-03-22 | |
| dc.date | 2004-09-11 | |
| dc.date.accessioned | 2026-07-07T05:06:34Z | |
| dc.date.available | 2026-07-07T05:06:34Z | |
| dc.description | We study the equivalence relation $R_N$ generated by the (non-free) action of the generalized Thompson group $F_N$ on the unit interval. We show that this relation is a standard, quasipreserving ergodic equivalence relation. Using results of Feldman-Moore, Krieger and Connes we prove that the von Neumann algebra $M(R_N)$ associated to $R_N$ is the hyperfinite type $III_λ$ factor, with $λ=1/N$. | |
| dc.identifier | https://arxiv.org/abs/math/0403332 | |
| dc.identifier | http://arxiv.org/abs/math/0403332 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70520 | |
| dc.subject | Operator Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 46L10;37A20 | |
| dc.title | The von Neumann Algebra of the Canonical Equivalence Relation of the Generalized Thompson Group | |
| dc.type | text |