Banach Embedding Properties of Non-Commutative Lp-Spaces

Let $mathcal N$ and $mathcal M$ be von Neumann algebras. It is proved that $L DEGREESp(mathcal N)$ does not linearly topologically embed in $L DEGREESp(mathcal M)$ for $mathcal N$ infinite, $mathcal M$ finit