Semi-regular masas of transfinite length
| dc.creator | White, Stuart | |
| dc.creator | Wiggins, Alan | |
| dc.date | 2006-11-20 | |
| dc.date.accessioned | 2026-07-07T08:37:50Z | |
| dc.date.available | 2026-07-07T08:37:50Z | |
| dc.description | In 1965 Tauer produced a countably infinite family of semi-regular masas in the hyperfinite $\mathrm{II}_1$ factor, no pair of which are conjugate by an automorphism. This was achieved by iterating the process of passing to the algebra generated by the normalisers and, for each $n\in\mathbb N$, finding masas for which this procedure terminates at the $n$-th stage. Such masas are said to have length $n$. In this paper we consider a transfinite version of this idea, giving rise to a notion of ordinal valued length. We show that all countable ordinals arise as lengths of semi-regular masas in the hyperfinite $\mathrm{II}_1$ factor. Furthermore, building on work of Jones and Popa, we obtain all possible combinations of regular inclusions of irreducible subfactors in the normalising tower. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611615 | |
| dc.identifier | http://arxiv.org/abs/math/0611615 | |
| dc.identifier | Internat. J. Math. Vol. 18, No. 9 (2007) 995--1007 | |
| dc.identifier | doi:10.1142/S0129167X07004424 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140542 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L10 | |
| dc.title | Semi-regular masas of transfinite length | |
| dc.type | text |