Erratum to: ``The minimal exact crossed product'' (Q2240553)
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| Language | Label | Description | Also known as |
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| English | Erratum to: ``The minimal exact crossed product'' |
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Erratum to: ``The minimal exact crossed product'' (English)
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4 November 2021
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Summary: 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 \(C_r^*(G)\).
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exotic crossed products
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Baum-Connes conjecture
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exact groups
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exotic group algebras
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