Topological orbit equivalence, amenability, approximate transitivity, antiautomorphisms, unitary groups and operator algebras

拓扑轨道等价、顺应性、近似传递性、反自同构、酉群和算子代数

• 批准号: 105463-2007
• 负责人: Giordano, Thierry
• 金额: $ 1.89万
• 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: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=451280
• 关键词: Topological; orbit; equivalence; amenability; approximate

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. I.F. Putnam, C.F. Skau and I have extensively studied the noncommutative spaces associated with minimal homeomorphisms on a Cantor set. In collaboration with H. Matui, we plan to pursue the study of orbit equivalence for larger classes of minimal actions.

在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，这是一个迅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。等价关系的商给出了非交换空间的大量例子。I.F. Putnam， C.F. Skau和我对Cantor集合上与极小同胚相关的非交换空间进行了广泛的研究。在与H. Matui的合作下，我们计划继续研究更大类最小作用的轨道等效性。