Irreducible subfactors derived from Popa's construction for non-tracial states
| dc.creator | Radulescu, Florin G. | |
| dc.date | 2000-11-13 | |
| dc.date | 2000-11-28 | |
| dc.date.accessioned | 2026-07-07T04:38:34Z | |
| dc.date.available | 2026-07-07T04:38:34Z | |
| dc.description | For an inclusion of the form $\Bbb C\subseteq M_n(\Bbb C)$, where $M_n(\Bbb C)$ is endowed with a state with diagonal weights $λ=(λ_1, ..., λ_n)$, we use Popa's construction, for non-tracial states, to obtain an irreducible inclusion of $II_1$ factors, $N^λ(Q)\subseteq M^λ(Q) $ of index $\sum \frac{1}{λ_i}$. $M^λ(Q)$ is identified with a subfactor inside the centralizer algebra of the canonical free product state on $Q\star M_N(\Bbb C)$. Its structure is described by ``infinite'' semicircular elements as in \cite{Ra3}. The irreducible subfactor inclusions obtained by this method are similar to the first irreducible subfactor inclusions, of index in $[4,\infty)$ constructed in \cite {Po1}, starting with the Jones' subfactors inclusion $R^s\subseteq R$, $s>4$. In the present paper, since the inclusion we start with has a simpler structure, it is easier to control the algebra structure of the subfactor inclusions. | |
| dc.description | LaTeX2e amsart class; 17 pages (now single spaced); picture and minor corrections added | |
| dc.identifier | https://arxiv.org/abs/math/0011084 | |
| dc.identifier | http://arxiv.org/abs/math/0011084 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60329 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L54 | |
| dc.title | Irreducible subfactors derived from Popa's construction for non-tracial states | |
| dc.type | text |