Taming infinite dimensions: quasidiagonality and nuclear dimension

这个项目的目的是开发新的方法来理解算子代数的正则性。这些在量子物理、量子计算和拓扑绝缘体的发展中发挥着至关重要的作用。算符代数构成了量子力学的数学基础。本项目旨在分析算子代数的核维度和拟对角性：这是最近发展起来的两个非常重要的正则性性质。这应该会带来显著的好处，包括加强对算子代数的理解，以及加强澳大利亚的研究能力和地位。

This project aims to develop new methods for understanding regularity properties of operator algebras. These play a crucial role in the development of quantum physics, quantum computing and in topological insulators. Operator algebras constitute the mathematical underpinnings of quantum mechanics. This project aims to analyse nuclear dimension and quasidiagonality of operator algebras: two recently developed and exceptionally important regularity properties. This should deliver significant benefits, including an enhanced understanding of operator algebras and strengthened research capacity and standing for Australia.