Mathematical Sciences: Nonselfadjoint Limit Algebras

[401456] Baker这个项目涉及三角形超高频代数的分类。目标是为这些代数建立一个巴拿赫代数分类理论。进一步提出了一种三角形UHF K代数的分类方案。还将研究p-adics上的三角形UHF代数。其他的研究将在AF C*-代数的正则子代数、标准三角UHF算子代数的表示理论和II型von Neumann代数的某些次对角子代数的第一个K群的计算等领域进行。这个项目的一般领域是算子代数。运算符可以被认为是有限或无限的复数矩阵。特殊类型的运算符通常放在一个代数中，自然地称为运算符代数。在其他问题中，Baker教授将尝试对可以由有限矩阵组成的算子代数近似的算子代数进行分类。＊＊＊

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. ***