Characterisations of K-theory

K 理论的特征

• 批准号: 2140058
• 金额: --
• 依托单位: University of Sheffield
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2018
• 资助国家: 英国
• 起止时间: 2018 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2140058
• 关键词: Characterisations; theory

The context of the project is work in non-commutative geometry, which relates to several different areas of pure mathematics and mathematical physics. Specifically, the aim is to develop further an axiomatic approach to K-theory. An axiomatic approach is already established for C*-algebra K-theory. The project will generalise this approach to graded C*-algebras and C*-categories. The results will be of great utility to mathematicians working in the field, as well as answering several natural questions.The general method is extrapolation from existing work, along with techniques developed by the researcher's supervisor and colleagues to deal with other problems. The project relates to the EPSRC research areas of algebra, geometry and topology, mathematical analysis, and mathematical physics.

该项目的背景是非交换几何的工作，涉及纯数学和数学物理的几个不同领域。具体来说，目的是进一步发展一个公理化的方法K理论。C*-代数K-理论的公理化方法已经建立。该项目将把这种方法推广到分次C*-代数和C*-范畴。结果将是非常有用的数学家在该领域的工作，以及回答几个自然的questions.The一般的方法是从现有的工作外推，沿着技术开发的研究人员的主管和同事来处理其他问题。该项目涉及EPSRC的代数，几何和拓扑，数学分析和数学物理的研究领域。