We strengthen a result of Hanke-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.
For a given discrete group
G
G
, we apply results of Kirchberg on exact and injective tensor products of
C
∗
C^*
-algebras to give an explicit description of the minimal exact correspondence crossed-product functor and the maximal injective crossed-product functor for
G
G
in the sense of Buss, Echterhoff and Willett. In particular, we show that the former functor dominates the latter.
For a given discrete group G, we apply results of Kirchberg on exact and injective tensor products of C * -algebras to give an explicit description of the minimal exact correspondence crossed-product functor and the maximal injective crossed-product functor for G in the sense of Buss, Echterhoff and Willett. In particular, we show that the former functor dominates the latter.
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