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

页码：3467 / 3483

页数：17

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