On the K-theory of groups with finite asymptotic dimension

被引：17

作者：

Bartels, Arthur ^{[1
]}

Rosenthal, David ^{[2
]}

机构：

[1] Univ Munster, Fachbereich Math & Informat, D-48149 Munster, Germany

[2] St Johns Univ, Dept Math & Comp Sci, Jamaica, NY 11439 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2007年 / 612卷

关键词：

D O I：

10.1515/CRELLE.2007.083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 F with finite asymptotic dimension that admit a finite model for (E) under bar Gamma. The result also applies to certain groups that admit only a finite dimensional model for (E) under bar Gamma. In particular, it applies to discrete subgroups of virtually connected Lie groups.

引用

页码：35 / 57

页数：23

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