On the Farrell-Jones conjecture for algebraic K-theory of spaces: the Farrell-Hsiang method

被引：3

作者：

Ullmann, Mark ^{[1
]}

Winges, Christoph ^{[2
]}

机构：

[1] Free Univ Berlin, Inst Math, Berlin, Germany

[2] Rheinische Friedrich Wilhelms Univ Bonn, Math Inst, Bonn, Germany

来源：

ANNALS OF K-THEORY | 2019年 / 4卷 / 01期

关键词：

algebraic K-theory of spaces; Farrell-Jones conjecture; poly-Z-groups; ISOMORPHISM CONJECTURES; ASSEMBLY MAPS; CATEGORY; LATTICES;

D O I：

10.2140/akt.2019.4.57

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the Farrell-Jones conjecture for algebraic K-theory of spaces for virtually poly-Z-groups. For this, we transfer the "Farrell-Hsiang method" from the linear case to categories of equivariant, controlled retractive spaces.

引用

页码：57 / 138

页数：82

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