Clustering of higher order connected correlations in C${}^{\ast }$ dynamical systems

Dimitrios Ampelogiannis, Benjamin Doyon

In the context of $C^{\ast }$ dynamical systems, we consider a locally compact group $G$ acting by ${}^{\ast }$-automorphisms on a C${}^{\ast }$ algebra $\mathfrak{U}$ of observables, and assume a state…