On the extension of positive maps to Haagerup non-commutative $L^p$-spaces

Christian Le Merdy, Safoura Zadeh

Let $M$ be a von Neumann algebra, let $\phi$ be a normal faithful state on $M$ and let $L^p(M,\phi )$ be the associated Haagerup non-commutative $L^p$-spaces, for $1\le p\le \infty$. Let…