论文标题
Baum-Connes和Davis-Lück组装的标识
An identification of the Baum-Connes and Davis-Lück assembly maps
论文作者
论文摘要
Baum-Connes的猜想预测，某个装配图是同构。我们确定了戴维斯和吕克（Davis andLück）的组装图的同构理论结构，以及迈耶和巢（Meyer and Nest）的类别理论结构。这将Hambleton和Pedersen的结果扩展到了任意系数。我们的方法使用抽象属性而不是显式构造，并且与Meyer's和Nest的识别识别其装配图的识别，其原始结构由Baum，Connes和Higson的原始组装图。
The Baum-Connes conjecture predicts that a certain assembly map is an isomorphism. We identify the homotopy theoretical construction of the assembly map by Davis and Lück with the category theoretical construction by Meyer and Nest. This extends the result of Hambleton and Pedersen to arbitrary coefficients. Our approach uses abstract properties rather than explicit constructions and is formally similar to Meyer's and Nest's identification of their assembly map with the original construction of the assembly map by Baum, Connes and Higson.
