Mathematical Sciences: Operator Algebras and Noncommutative Topology

布莱克达尔教授将继续他的工作， 关于算子代数结构的问题， 非交换代数拓扑 拟研究的具体专题 （i）齐次C ~*-的归纳极限的结构 代数，（ii）非稳定K-理论和基本 （三）可比较性问题; C ~*-代数上的上同调理论 C* 代数的概念是以下概念的抽象： 空间上的线性变换族。 这些 转换也可以被认为是在 空间的状态，以及这个家庭的属性， 负责符号 * 的是，代数是由 在这些状态下其值为真实的数的变换。 事实上，这些物体自然地出现在许多分支， 数学和物理使它们成为重要的学习内容。

Professor Blackadar will continue his work on a wide range of problems concerning the structure of operator algebras and noncommutative algebraic topology. Specific topics to be studied are: (i) structure of inductive limits of homogeneous C*- algebras, (ii) nonstable K-theory and the fundamental comparability question, and (iii) existence and properties of cohomology theories on C*-algebras. The notion of a C* algebra is an abstraction of the idea of a family of linear transformations on a space. These transformations can also be thought of as having values in the states of the space, and the property of this family which is responsible for the symbol * is that the algebra is generated by transformations whose values in these states are real numbers. The fact that these objects appear naturally in many branches of mathematics and physics make them important to study.