States and structure of operator algebras from self-similar actions

自相似作用算子代数的状态和结构

• 批准号: DP130100490
• 负责人: Prof Jacqui Ramagge
• 金额: $ 27.75万
• 依托单位: The University of Sydney
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2013
• 资助国家: 澳大利亚
• 起止时间: 2013-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP130100490
• 关键词: States; structure; operator; algebras; self

Operator algebras are mathematical structures which have a wide range of applications including theoretical physics. This project will investigate a large class of interesting operator algebras associated to symmetries of graphs with fractal-like properties, detail their structure and classify the states associated to them.

算子代数是一种具有广泛应用的数学结构，包括理论物理。该项目将研究与具有分形性质的图的对称性相关的一大类有趣的算子代数，详细说明它们的结构并分类与它们相关的状态。