Mathematical Sciences: Operator Algebras and Noncommutative Topology

小行星94013162 调查人员建议继续工作的一系列问题的结构算子代数和非交换代数拓扑。具体研究主题有：C*-代数归纳极限的结构、群胚及其C*-代数的结构、不稳定K-理论和基本可比性问题、C*-代数上同调理论的存在性和性质。 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中自然出现。理解这些代数已经变得非常重要，而且大多数必要的工具现在似乎已经被提议者和其他人开发出来，使我们相信一个完整的描述是触手可及的。 ***

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. ***