$L^p$-Wasserstein distances on state and quasi-state spaces of $C^{\ast }$-algebras

Danila Zaev

We construct an analogue of the classical $L^p$-Wasserstein distance for the state space of a $C^{\ast }$-algebra. Given an abstract Lipschitz gauge on a $C^{\ast }$-algebra $\mathcal{A}$ in t…