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.

ER - TY - JOUR T1 - The Baumâ€“Connes conjecture localised at the unit element of a discrete group JF - ArXiv e-prints Y1 - 2018 A1 - Paolo Antonini A1 - Azzali, S. A1 - Skandalis, G. KW - 19K35 KW - 46L80 KW - 46L85 KW - 58J22 KW - Mathematics - K-Theory and Homology KW - Mathematics - Operator Algebras ER -