2-positive contractive projections on noncommutative ${\mathrm{L}}^p$-spaces

Cédric Arhancet, Yves Raynaud

We prove the first theorem on projections on general noncommutative ${\mathrm{L}}^p$-spaces associated with non-type I von Neumann algebras where $1⩽p<\infty$. This is th…