Mathematical Sciences: Operator Algebras and Noncommutative Topology

数学科学：算子代数和非交换拓扑

• 批准号: 9401316
• 负责人: Bruce Blackadar
• 金额: $ 8.4万
• 依托单位: Board of Regents, NSHE, obo University of Nevada, Reno
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401316&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Operator; Algebras; Noncommutative

94013162 Blackadar The investigator proposes to continue work on a range of problems concerning the structure of operator algebras and noncommutative algebraic topology. Specific topics to be studied are: structure of inductive limits of C*-algebras, structure of groupoids and their C*-algebras, nonstable K-theory and the fundamental comparability question, and existence and properties of cohomology theories on C*-algebras. The proposed work will lead toward a description of the internal structure of a class of algebras which arise naturally throughout mathematics and mathematical physics. It has become very important to understand these algebras, and most of the necessary tools now seem to have been developed, by the proposer and others, to lead us to believe a complete description is within reach. ***

94013162 Blackadar研究人员提议继续处理有关操作员代数和非交通代数代数拓扑结构的一系列问题。要研究的具体主题是：C* - 代数的归纳限制的结构，群体的结构及其C* - 代数，不稳定的K理论以及基本可比性问题，以及共同体理论在C*-Algebras上的存在和特性。 拟议的工作将导致对一类代数的内部结构的描述，这些代数在数学和数学物理学中自然出现。理解这些代数非常重要，而提议者和其他人现在似乎已经开发出了大多数必要的工具，以使我们相信完全描述已达到范围。 ***