There and back again: operator algebras, algebras and dynamical systems

这个项目的目的是发展数学，使我们能够在动力系统和代数之间来回传递信息，包括算子代数。动力系统--随时间变化的系统--无处不在，是现代数学及其应用的核心。在数学中，对偶性允许我们将问题从一个上下文转换到另一个更容易解决的问题，然后再将答案翻译回来。预期的结果包括加深对算子代数及其所代表的动力系统之间关系的理解。好处包括加强国际合作，提高澳大利亚在纯数学方面的能力，特别是算子代数。

The aim of this project is to develop mathematics that enables us to transfer information back and forth between dynamical systems and algebras, including operator algebras. Dynamical systems - systems that change over time - are ubiquitous, and central to modern mathematics and its applications. In mathematics, dualities allow us to translate questions from one context to another in which they are easier to solve and then translate the answer back again. Expected outcomes include increased understanding of the relationship between operator algebras and the dynamical systems that they represent. Benefits include enhanced international collaboration, and increased Australian capacity in pure mathematics, particularly operator algebras.