A ${\mathrm{C}}^{\ast }$-algebraic Hoffman-Wielandt theorem

Bhishan Jacelon

We observe that the $2$-norm distance $d_{U,2}$ between the unitary orbits of normal elements in a ${\mathrm{II}}_1$ factor $\mathcal{M}$ is equal to the $2$-Wasserstein distance bet…