We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class of linear groups or, more general, groups with finite decomposition complexity.

中文翻译：

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粗同源性理论的内射性结果

我们使用等变的粗糙同源理论和转移来显示装配图的注入性结果。我们的方法基于下降原理，适用于一大类线性组，或更一般地说，具有有限分解复杂度的组。