Structure and states of operator-algebraic dynamical systems

算子代数动力系统的结构和状态

• 批准号: DP1096001
• 负责人: Prof Jacqui Ramagge
• 金额: $ 29.26万
• 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: 2010
• 资助国家: 澳大利亚
• 起止时间: 2010-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP1096001
• 关键词: Structure; states; operator; algebraic; dynamical

This project is in the general area of functional analysis, and more specifically operator theory, an area in which the University of Wollongong has an active research group and a strong international reputation. The investigators will study dynamical systems arising in combinatorial and number-theoretic situations, where the analogue of the "dynamics'' is provided by an action of the real line on an operator algebra. Thus the project will involve ideas and techniques from a wide range of mathematical disciplines, and will help to broaden Australia's expertise across these disciplines.

该项目属于泛函分析的一般领域，更具体地说是算子理论，卧龙岗大学在该领域拥有活跃的研究小组并享有很高的国际声誉。研究人员将研究组合和数论情况下出现的动力系统，其中“动力”的模拟是由实线对算子代数的作用提供的。因此，该项目将涉及广泛的数学学科的思想和技术，并将有助于扩大澳大利亚在这些学科上的专业知识。