Mathematical Sciences: Operator Algebras and Noncommutative Topology

94013162研究人员Blackadar建议继续研究一系列关于算子代数结构和非对易代数拓扑的问题。具体的研究课题有：C~*-代数的归纳极限的结构，群胚及其C~*-代数的结构，非稳定K-理论和基本比较问题，以及C~*-代数上上同调理论的存在性和性质。这项拟议的工作将导致对一类在数学和数学物理中自然产生的代数的内部结构的描述。理解这些代数已经变得非常重要，现在大多数必要的工具似乎已经由提出者和其他人开发出来，让我们相信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. ***