The closure of ideals of ${\mathbf{\ell }}^1(\mathbf{\Sigma })$ in its enveloping ${\mathrm{C}}^{\ast }$-algebra

Marcel de Jeu, Jun Tomiyama

If $X$ is a compact Hausdorff space and $\sigma$ is a homeomorphism of $X$, then an involutive Banach algebra ${\ell }^1(\Sigma )$ of crossed product type is naturally associated with the topolo…