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On the K-theory of groups with finite asymptotic dimension

Arthur Bartels·David Rosenthal
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Abstract

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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Arthur Bartels, David Rosenthal. 2016-09-22. On the K-theory of groups with finite asymptotic dimension. https://arxiv.org/abs/math/0605088

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