| dc.creator | Argerami, Martín | |
| dc.creator | Stojanoff, Demetrio | |
| dc.date | 1999 | |
| dc.date | 2021-08-24T17:25:23Z | |
| dc.date.accessioned | 2023-07-15T02:44:58Z | |
| dc.date.available | 2023-07-15T02:44:58Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/123300 | |
| dc.identifier | issn:0378-620X | |
| dc.identifier | issn:1420-8989 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7463129 | |
| dc.description | We define a discrete group W(E) associated to a faithful normal conditional expectation E : M → N for N ⊆ M von Neuman algebras. This group shows the relation between the unitary group U<sub>N</sub> and the normalizer N<sub>E</sub> of E, which can be also considered as the isotropy of the action of the unitary group U<sub>M</sub> of M on E. It is shown that W(E) is finite if dim Z(N) < ∞ and bounded by the index in the factor case. Also sharp bounds of the order of W(E) are founded. W(E) appears as the fibre of a covering space defined on the orbit of E by the natural action of the unitary group of M. W(E) is computed in some basic examples. | |
| dc.description | Facultad de Ciencias Exactas | |
| dc.format | application/pdf | |
| dc.format | 165-186 | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.rights | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
| dc.subject | Ciencias Exactas | |
| dc.subject | Matemática | |
| dc.subject | Física | |
| dc.subject | Weyl group | |
| dc.subject | Algebra | |
| dc.subject | Normalizer | |
| dc.subject | Conditional expectation | |
| dc.title | The Weyl group and the normalizer of a conditional expectation | |
| dc.type | Articulo | |
| dc.type | Articulo | |
