Topological equivariant coarse K-homology

被引：3
作者：
Bunke, Ulrich [1 ]
Engel, Alexander [2 ]
机构：
[1] Univ Regensburg, Fak Math, Regensburg, Germany
[2] Univ Greifswald, Inst Math & Informat, Greifswald, Germany
来源：
ANNALS OF K-THEORY | 2023年 / 8卷 / 02期
关键词：
coarse homology; K-theory; CONNES CONJECTURE; HOMOTOPY-THEORY; BAUM-CONNES;
D O I：
10.2140/akt.2023.8.141
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a C*-category with a strict G-action we construct examples of equivariant coarse homology theories. To this end we first introduce versions of Roe cate-gories of objects in C*-categories which are controlled over bornological coarse spaces, and then apply a homological functor. These equivariant coarse homology theories are then employed to verify that certain functors on the orbit category are CP-functors. This fact has consequences for the injectivity of assembly maps.
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页码：141 / 220
页数：81
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