Operator Algebras and Dynamics

算子代数和动力学

• 批准号: 105463-2012
• 负责人: Giordano, Thierry
• 金额: $ 2.19万
• 依托单位: University of Ottawa
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2014
• 资助国家: 加拿大
• 起止时间: 2014-01-01 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=545148
• 关键词: Operator; Algebras; Dynamics

In the 1980's, A. Connes introduced noncommutative spaces, and began to develop noncommutative geometry, a rapidly growing new area of mathematics which contributes to many disciplines in mathematics and physics. A large source of examples of noncommutative spaces is given by the quotient of equivalence relations. With I.F. Putnam, C.F. Skau and more recently H. Matui, I have extensively studied the noncommutative spaces associated to minimal homeomorphisms on a Cantor set. We plan to pursue the study of orbit equivalence for larger class of minimal actions.

20世纪80年代，A. Connes引入了非交换空间，并开始发展非交换几何，这是一个快速发展的数学新领域，对数学和物理的许多学科做出了贡献。非交换空间的例子的大量来源是由等价关系的商给出的。与 I.F.普特南，C.F. Skau 和最近的 H. Matui，我广泛研究了与康托集上的最小同胚相关的非交换空间。我们计划继续研究更大类别的最小作用的轨道等效性。