Mathematical Sciences: Graded AF Algebras and AF Algebra Bundles

这是一项研究计划补助金，目的是支持帕克教授在其拟议研究项目的初步研究中的活动。这笔赠款将为她提供资金，让她参观现有的研究中心，并咨询该领域的专家。此外，她还将出席几个会议并参加研究研讨会。该项目本身涉及C*代数。C*代数的概念是空间上的一族线性变换的概念的抽象。这些变换也可以被认为在空间的状态中具有值，而负责符号*的这个族的性质是，代数是由在这些状态中的值为实数的变换生成的。这些物体自然而然地出现在数学和物理的许多分支中，这使得研究它们变得重要。

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.