The Baum-Connes conjecture via localization of categories

被引：10
作者：
Meyer, R
Nest, R
机构：
[1] Univ Munster, Math Inst, D-48149 Munster, Germany
[2] Univ Copenhagen, Inst Matemat Fag, DK-2100 Copenhagen, Denmark
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2004年 / 69卷 / 1期
关键词：
operator algebras; Baum-Connes conjecture; triangulated categories;
D O I：
10.1007/s11005-004-1831-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We redefine the Baum-Connes assembly map using simplicial approximation in the equivariant Kasparov category. This interpretation is ideal for studying functorial properties and gives analogues of the Baum-Connes assembly map for all equivariant homology theories.
引用
收藏
页码：237 / 263
页数：27
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