Geodesic
Erratum to: ``The minimal exact crossed product''
Documenta mathematica, Tome 26 (2021), pp. 1629-1632.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 $C^*$-group algebra $C_{\epsilon_{M}}^*(G)=\mathbb{C}\rtimes_{\epsilon_{M}} G$ corresponding to the smallest exact \textit{Morita compatible} crossed-product functor $\rtimes_{\epsilon_{M}}$ is equal to the reduced group $C^*$-algebra $C_r^*(G)$.
Classification : 46L55, 46L08, 46L80
Keywords: exotic crossed products, Baum-Connes conjecture, exact groups, exotic group algebras 
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     title = {Erratum to: {``The} minimal exact crossed product''},
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Buss, Alcides; Echterhoff, Siegfried; Willett, Rufus. Erratum to: ``The minimal exact crossed product''. Documenta mathematica, Tome 26 (2021), pp. 1629-1632. http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a13/