Operator Algebras and Applications

算子代数及其应用

• 批准号: RGPIN-2017-06719
• 负责人: Elliott, George
• 金额: $ 2.7万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635265
• 关键词: Operator; Algebras; Applications

The objective of the proposed research is to confirm a striking phenomenon. I have discovered that a large class of quite complicated mathematical objects (virtually all naturally arising norm-closed algebras of operators in Hilbert space, including those of interest in mathematical physics, and in other branches of mathematics in which complex systems are considered, such as the theory of dynamical systems and the theory of foliations) can apparently be described in terms of very simple data---often now called the Elliott invariant.

这项研究的目的是证实一个惊人的现象。我发现有一大类相当复杂的数学对象（实际上，希尔伯特空间中所有自然产生的算子的范数闭代数，包括数学物理中感兴趣的代数，以及考虑复杂系统的其他数学分支，例如动力系统理论和叶理理论）显然可以用非常简单的数据来描述-现在常被称为艾略特不变量