On the K-theory of subgroups of virtually connected Lie groups

被引：2
|
作者：
Kasprowski, Daniel [1 ]
机构：
[1] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2015年 / 15卷 / 06期
关键词：
FARRELL-JONES CONJECTURE; ISOMORPHISM CONJECTURE; NOVIKOV-CONJECTURE; HYPERBOLIC GROUPS; ARITHMETIC GROUPS; CAT(0)-GROUPS; DIMENSION;
D O I：
10.2140/agt.2015.15.3467
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that for every finitely generated subgroup G of a virtually connected Lie group which admits a finite-dimensional model for (E) under barG, the assembly map in algebraic K-theory is split injective. We also prove a similar statement for algebraic L-theory which, in particular, implies the generalized integral Novikov conjecture for such groups.
引用
收藏
页码：3467 / 3483
页数：17
相关论文
共 50 条
12345