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.
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页码：57 / 138
页数：82
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