Abstract: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 holds for many other exotic group C*-algebras, in particular the one associated to the smallest strongly Morita compatible and exact crossed product functor used in the new version of the Baum–Connes conjecture. To achieve this we provide a Fell absorption principle for certain exotic crossed product functors.

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中文翻译：

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低度上同调和奇异群 C*-代数的强诺维科夫猜想

摘要：我们加强了 Hanke-Schick 关于低度上同调的强 Novikov 猜想的结果，通过证明他们对极大群 C*-代数的非零结果适用于许多其他奇异群 C*-代数，特别是与 Baum-Connes 猜想的新版本中使用的最小的强 Morita 兼容和精确交叉积函子相关联。为了实现这一点，我们为某些奇异的交叉积函子提供了 Fell 吸收原理。

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