On the normalizing algebra of a MASA in a II$_1$ Factor
| dc.creator | Chifan, Ionut | |
| dc.date | 2006-06-09 | |
| dc.date | 2007-04-30 | |
| dc.date.accessioned | 2026-07-07T07:58:52Z | |
| dc.date.available | 2026-07-07T07:58:52Z | |
| dc.description | Let $A$ be a maximal abelian subalgebra (MASA) in a \II1 factor $M$. Sorin Popa introduced an analytic condition that can be used to identify the normalizing algebra of $A$ in $M$ and which we call \emph{the relative weak asymptotic homomorphism property}. In this paper we show this property is always satisfied by the normalizing algebra of $A$ in $M$ and as a consequence we obtain that $\bar{\bigotimes}_{i\in I}(\mathcal{N}_{M_{i}}(A_{i})^{\prime\prime})= (\mathcal{N}_{\bar{\bigotimes}_{i\in I}M_{i}}(\bar{\otimes}%_{i\in I} A_{i}))^{\prime\prime}$ . | |
| dc.description | Stylistic changes. Paper has been submitted | |
| dc.identifier | https://arxiv.org/abs/math/0606225 | |
| dc.identifier | http://arxiv.org/abs/math/0606225 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128160 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L10 | |
| dc.title | On the normalizing algebra of a MASA in a II$_1$ Factor | |
| dc.type | text |