Taming infinite dimensions: quasidiagonality and nuclear dimension

驯服无限维度：准对角性和核维度

• 批准号: DP180100595
• 负责人: Prof Aidan Sims
• 金额: $ 24.3万
• 依托单位: University of Wollongong
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2018
• 资助国家: 澳大利亚
• 起止时间: 2018-09-01 至 2022-03-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP180100595
• 关键词: Taming; infinite; dimensions; quasidiagonality; nuclear

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.

本计画旨在发展新的方法来了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起着至关重要的作用。算符代数构成了量子力学的数学基础。这个项目的目的是分析算子代数的核维数和拟对角性：两个最近发展起来的非常重要的正则性质。这将带来重大的好处，包括提高对算子代数的理解，加强研究能力和澳大利亚的地位。