Mathematical Sciences: Twisted Crossed Product C*-Algebras and C*Bundles

数学科学：扭曲交叉积 C* 代数和 C* 丛

• 批准号: 9003343
• 负责人: Judith Packer
• 金额: $ 4.06万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-01 至 1993-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9003343&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Twisted; Crossed; Product

Professor Packer will study two topics under the general heading of twisted crossed product C* algebras: (i) the topological structure of the primitive ideal space of twisted group C* algebras related to nilpotent groups, and (ii) K- theoretic invariants for certain twisted crossed product 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.

帕克教授将研究两个主题下的一般 扭交叉积C ~* 代数的标题：（i） 扭本原理想空间的拓扑结构 与幂零群相关的群C* 代数，以及（ii）K- 一类扭叉积C* 的理论不变量 代数 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。