We strengthen a result of Hankeâ€“Schick about the strong Novikov conjecture for low degree cohomology by showing that their non-vanishing result for the maximal group $C^*$-algebra even holds for the reduced group $C^*$-algebra. To achieve this we provide a Fell absorption principle for certain exotic crossed product functors.

%B arXiv e-prints %P arXiv:1905.07730 %8 May %G eng %0 Journal Article %J ArXiv e-prints %D 2018 %T The Baumâ€“Connes conjecture localised at the unit element of a discrete group %A Paolo Antonini %A Azzali, S. %A Skandalis, G. %K 19K35 %K 46L80 %K 46L85 %K 58J22 %K Mathematics - K-Theory and Homology %K Mathematics - Operator Algebras %B ArXiv e-prints %G eng