On the commutant of $C(X)$ in $C^{\ast }$-crossed products by $\mathbb{Z}$ and their representations

Christian Svensson, Jun Tomiyama

For the $C^{\ast }$-crossed product $C^{\ast }(\Sigma )$ associated with an arbitrary topological dynamical system $\Sigma =(X,\sigma )$, we provide a detailed analysis of the commutant, in $C^{\ast }(\Sigma )$, of $C(X…