Mathematical Sciences: Nonselfadjoint Limit Algebras

数学科学：非自共极限代数

• 批准号: 9401456
• 负责人: Richard Baker
• 金额: $ 5.06万
• 依托单位: University of Iowa
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-06-01 至 1998-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401456&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Nonselfadjoint; Limit; Algebras

9401456 Baker The project involves the classification of triangular UHF algebras. The goal is to establish a Banach algebra classification theory for these algebras. It is further proposed to develop a classification scheme for triangular UHF K algebras. Investigations will also be made of triangular UHF algebras over the p-adics. Other investigations will be made in the areas of canonical subalgebras of AF C*-algebras, the representation theory of standard triangular UHF operator algebras, and the calculation of the first K group of certain subdiagonal subalgebras of type II von Neumann algebras. The general area of this project is operator algebras. Operators can be thought of as finite or infinite matrices of complex numbers. Special types of operators are often put together in an algebra, naturally called an operator algebra. Among other problems, Professor Baker will try to classify operator algebras that can be approximated by operator algebras consisting of finite matrices. ***

9401456贝克 该项目涉及三角UHF代数的分类。目标是建立这些代数的Banach代数分类理论。进一步提出了三角UHF K代数的分类方案。 调查也将作出三角UHF代数的p-adics。其他调查将在该地区的典型子代数的AF C*-代数，表示理论的标准三角UHF算子代数，并计算第一K群的某些次对角子代数的II型冯诺依曼代数。 这个项目的一般领域是算子代数。 运算符可以被认为是复数的有限或无限矩阵。特殊类型的算子通常被放在一个代数中，自然称为算子代数。 除其他问题外，贝克教授将尝试对可以由有限矩阵组成的算子代数逼近的算子代数进行分类。 ***