A Continuous Path of Singular Masas in the Hyperfinite II_1 Factor
| dc.creator | Sinclair, Allan | |
| dc.creator | White, Stuart | |
| dc.date | 2006-02-08 | |
| dc.date.accessioned | 2026-07-07T07:52:19Z | |
| dc.date.available | 2026-07-07T07:52:19Z | |
| dc.description | Using methods of R.J.Tauer we exhibit an uncountable family of singular masas in the hyperfinite $\textrm{II}_1$ factor $\R$ all with Pukánszky invariant $\{1\}$, no pair of which are conjugate by an automorphism of $R$. This is done by introducing an invariant $Γ(A)$ for a masa $A$ in a \IIi factor $N$ as the maximal size of a projection $e\in A$ for which $A e$ contains non-trivial centralising sequences for $eN e$. The masas produced give rise to a continuous map from the interval $[0,1]$ into the singular masas in $\R$ equiped with the $d_{\infty,2}$-metric. A result is also given showing that the Pukánszky invariant is $d_{\infty,2}$-upper semi-continuous. As a consequence, the sets of masas with Pukánszky invariant $\{n\}$ are all closed. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602155 | |
| dc.identifier | http://arxiv.org/abs/math/0602155 | |
| dc.identifier | J. London Math. Soc. (2) 75 (2007) 243-254 | |
| dc.identifier | doi:10.1112/jlms/jdl019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125837 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L10 | |
| dc.title | A Continuous Path of Singular Masas in the Hyperfinite II_1 Factor | |
| dc.type | text |