群胚的粗上同調(diào)和Connes-Chern特征映射
發(fā)布時間：2019-07-23 06:18
【摘要】：本文引入群胚上粗上同調(diào)群的概念,構造了一個從群胚粗上同調(diào)群映到群胚Roe*-代數(shù)循環(huán)上同調(diào)群的Connes-Chern特征映射.作為例子,本文構造了平坦G-主叢所定義的和樂(holonomy)群胚上的一個粗上同調(diào)類.
[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.
【作者單位】： Department
【基金】：美國國家科學基金(批準號:DMS1363250,DMS1401126和DMS1564281) 國家自然科學基金(批準號:11522107,11231002和11420101001)資助項目
【分類號】：O189.22
，
本文編號：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.
【作者單位】： Department
【基金】：美國國家科學基金(批準號:DMS1363250,DMS1401126和DMS1564281) 國家自然科學基金(批準號:11522107,11231002和11420101001)資助項目
【分類號】：O189.22
，
本文編號：2517967
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