Mathematical Sciences: Graded AF Algebras and AF Algebra Bundles

数学科学：AF 代数分级和 AF 代数束

• 批准号: 9009065
• 负责人: Ellen Maycock
• 金额: $ 1.5万
• 依托单位: DePauw University
• 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: 1990-07-01 至 1991-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9009065&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Graded; AF; Algebras

This is a research planning grant for the purpose of supporting Professor Parker's activities in a preliminary study of her proposed research project. The grant will provide funds for her to visit established research centers and consult with experts in the field. In addition she will attend several conferences and participate in research seminars. The project itself deals with 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.

这是一项研究规划补助金，目的是 支持帕克教授的初步研究活动 她提出的研究项目。 这笔赠款将提供资金 让她访问已建立的研究中心， 该领域的专家。 此外，她还将出席多个 参加研讨会和研讨会。 该项目本身涉及C* 代数。 的概念 C* 代数是一族线性代数概念的抽象， 空间上的变换。 这些转换也可以是 被认为在空间状态中具有值， 负责符号 * 的这个家族的属性是 代数是由变换生成的， 这些状态是真实的数。 这些物体 自然地出现在数学和物理学的许多分支中， 重要的是要学习。