群胚的粗上同调和Connes-Chern特征映射
发布时间：2019-07-23 06:18
【摘要】：本文引入群胚上粗上同调群的概念,构造了一个从群胚粗上同调群映到群胚Roe*-代数循环上同调群的Connes-Chern特征映射.作为例子,本文构造了平坦G-主丛所定义的和乐(holonomy)群胚上的一个粗上同调类.
[Abstract]:In this paper, the concept of rough cohomology group on group embryo is introduced, and a Connes-Chern feature mapping from rough cohomology group of group embryo to cyclic cohomology group of group embryo Roe*- algebra is constructed. As an example, this paper constructs a rough cohomology class on the (holonomy) group embryos defined by the flat G-principal cluster.
【作者单位】： Department
【基金】：美国国家科学基金(批准号:DMS1363250,DMS1401126和DMS1564281) 国家自然科学基金(批准号:11522107,11231002和11420101001)资助项目
【分类号】：O189.22
，
本文编号：2517967
[Abstract]:In this paper, the concept of rough cohomology group on group embryo is introduced, and a Connes-Chern feature mapping from rough cohomology group of group embryo to cyclic cohomology group of group embryo Roe*- algebra is constructed. As an example, this paper constructs a rough cohomology class on the (holonomy) group embryos defined by the flat G-principal cluster.
【作者单位】： Department
【基金】：美国国家科学基金(批准号:DMS1363250,DMS1401126和DMS1564281) 国家自然科学基金(批准号:11522107,11231002和11420101001)资助项目
【分类号】：O189.22
，
本文编号：2517967
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