Hopf cyclic cohomology, twisted local index formula, and noncommutative complex geometry

Hopf 循环上同调、扭曲局部指数公式和非交换复几何

• 批准号: 184060-2009
• 负责人: Khalkhali, Masoud
• 金额: $ 2.04万
• 依托单位: University of Western Ontario
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=503694
• 关键词: Hopf; cyclic; cohomology; twisted; local; Hopf; cyclic; cohomology; twisted; local

This proposal consists of several rather independent components: the local index formula for twisted spectral triples; an elaborate study of Hopf cyclic cohomology; and noncommutative complex geometry. The notion of a twisted spectral triple has recently been introduced by Connes and Moscovici. It aims to extend the index theory to a type III setting. Here by type III we mean a situation (as in type III von Neumann algebras) where the underlying noncommutative space admits no non-zero traces. The twist automorphism is

该提案由几个相当独立的组成部分组成：扭曲光谱三元组的局部索引公式；一项详尽的HOPF循环共同研究的研究；和非交换复杂的几何形状。 Connes和Moscovici最近引入了扭曲光谱三重的概念。它旨在将索引理论扩展到III型设置。在这里，我们的意思是一种情况（如III型von Neumann代数），其中潜在的非共同空间不接受非零痕迹。扭曲自动形态是