Strong Singularity of Singular Masas in II_1 Factors
| dc.creator | Sinclair, Allan | |
| dc.creator | Smith, Roger | |
| dc.creator | White, Stuart | |
| dc.creator | Wiggins, Alan | |
| dc.date | 2006-01-24 | |
| dc.date.accessioned | 2026-07-07T09:57:43Z | |
| dc.date.available | 2026-07-07T09:57:43Z | |
| dc.description | A singular masa $A$ in a $\rm{II}_{1}$ factor $N$ is defined by the property that any unitary $w\in N$ for which $A=wAw^*$ must lie in $A$. A strongly singular masa $A$ is one that satisfies the inequality $$\| E_A- E_{wAw^*}\|_{\infty,2}\geq\|w- E_A(w)\|_2$$ for all unitaries $w\in N$, where $E_A$ is the conditional expectation of $N$ onto $A$, and $\|\cdot\|_{\infty,2}$ is defined for bounded maps $ϕ:N\to N$ by $\sup\{\|ϕ(x)\|_2:x\in N, \|x\|\leq 1\}$. Strong singularity easily implies singularity, and the main result of this paper shows the reverse implication. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601594 | |
| dc.identifier | http://arxiv.org/abs/math/0601594 | |
| dc.identifier | Illinois J. Math. 51 (4) 2007, 1077-1084 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167449 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L10 | |
| dc.title | Strong Singularity of Singular Masas in II_1 Factors | |
| dc.type | text |