Geometrization of the Strong Novikov Conjecture for residually finite groups
Geometrization of the Strong Novikov Conjecture for residually finite groups
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DOI：
10.1515/crelle.2008.061
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
G. Gong;Qin Wang;Guoliang Yu
中科院分区：
文献类型：
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作者：
G. Gong;Qin Wang;Guoliang Yu
摘要 在本文中，我们证明了残差有限群的强诺维科夫猜想本质上等价于与该群相关的某个度量空间的粗几何诺维科夫猜想。作为一个应用，我们获得了一大类扩展器序列的粗略几何诺维科夫猜想。
Abstract In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of sequences of expanders.