【摘要】：本文引入群胚上粗上同調(diào)群的概念,構(gòu)造了一個(gè)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(gòu)造了平坦G-主叢所定義的和樂(lè)(holonomy)群胚上的一個(gè)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(guó)國(guó)家科學(xué)基金(批準(zhǔn)號(hào):DMS1363250,DMS1401126和DMS1564281) 國(guó)家自然科學(xué)基金(批準(zhǔn)號(hào):11522107,11231002和11420101001)資助項(xiàng)目
【分類號(hào)】：O189.22
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本文編號(hào)：2517967