Subfactors of free products of rescalings of a II_1-factor
| dc.creator | Dykema, Ken | |
| dc.date | 2002-03-20 | |
| dc.date.accessioned | 2026-07-07T04:47:12Z | |
| dc.date.available | 2026-07-07T04:47:12Z | |
| dc.description | Let Q be any II_1-factor. It is shown that any standard lattice G can be realized as the standard invariant of a free product of (several) rescalings of Q. In particular, if Q has fundamental group equal to the positive reals and if P is the free product of infinitely many copies of Q, then P has subfactors giving rise to all possible standard invariants. Similarly, given a II_1-subfactor N of M, it is shown there is a subfactor R of S having the same standard invariant as N in M but where S, respectively R, is the free product of M, respectively N, with rescalings of Q. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203212 | |
| dc.identifier | http://arxiv.org/abs/math/0203212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63616 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L37, 46L54 | |
| dc.title | Subfactors of free products of rescalings of a II_1-factor | |
| dc.type | text |