Localization for coarse homology theories

被引：1

作者：

Bunke, Ulrich ^{[1
]}

Caputi, Luigi ^{[2
]}

机构：

[1] Univ Regensburg, Fak Math, Regensburg, Germany

[2] Univ Bologna, Dept Math, Bologna, Italy

来源：

ANNALS OF K-THEORY | 2024年 / 9卷 / 01期

关键词：

coarse homology theory; localization; Bredon style homology;

D O I：

10.2140/akt.2024.9.41

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of a Bredon-style equivariant coarse homology theory. We show that such a Bredon-style equivariant coarse homology theory satisfies localization theorems and that a general equivariant coarse homology theory can be approximated by a Bredon-style version. We discuss the special case of algebraic and topological equivariant coarse K -homology and obtain the coarse analog of Segal's localization theorem.

引用

页码：41 / 88

页数：51

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