Erratum to: "The minimal exact crossed product"

Abstract

We point out some mistakes in our paper [ibid. 23, 2043–2077 (2018; Zbl 1430.46050)]. The most severe one is a gap in our proof that the smallest exact crossed product functor, as constructed in [loc. cit.], is automatically Morita compatible. We were not able to close this gap so far. So, at this time, we cannot conclude that the $C^{\ast }$-group algebra $C_{{ϵ}_M}^{\ast }(G)=\mathbb{C}{⋊}_{{ϵ}_M}G$ corresponding to the smallest exact Morita compatible crossed-product functor ${⋊}_{{ϵ}_M}$ is equal to the reduced group $C^{\ast }$-algebra $C_r^{\ast }(G)$.

Link to the paper corrected hereby.