关于有限渐近维数群的K理论
On the K-theory of groups with finite asymptotic dimension
摘要：
证明了代数K-和L-理论中关于有限子群族的装配映射对于具有有限渐近维数的群是内射的，这些群允许真作用的分类空间为有限模型.这个结果也适用于某些只允许这个空间有有限维模型的群。特别地，它适用于虚连通李群的离散子群。
英文摘要：
It is proved that the assembly maps in algebraic K- and L-theory with respect to the family of finite subgroups is injective for groups with finite asymptotic dimension that admit a finite model for the classifying space for proper actions. The result also applies to certain groups that admit only a finite dimensional model for this space. In particular, it applies to discrete subgroups of virtually connected Lie groups.
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