Non-invariant subspaces for subfactors. - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T07:36:23Z http://mathoverflow.net/feeds/question/108987 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/108987/non-invariant-subspaces-for-subfactors Non-invariant subspaces for subfactors. heller 2012-10-06T08:37:53Z 2012-10-07T13:45:42Z <p>Let $\mathcal{M}$ be a II_1 factor. If $\mathcal{N}$ is a subfactor of $\mathcal{M}$ ($\mathcal{N} \neq \mathcal{M}$), does there always exist a projection in $\mathcal{M}$ such that $(I-P)AP \neq 0$ for any $A$ in $\mathcal{N}$ such that $A \neq zI$?</p>