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数学专家报告:中国科学院数学与系统科学研究院袁巍副研究员学术报告
发布日期:2017-12-20 浏览次数:

人:袁巍副研究员(中国科学院数学与系统科学研究院)

   要:Starting from a (small) rigid C*-tensor category with simple unit, we construct von Neumann algebras associated to each of its objects. These algebras are factors and can be either semifinite (of type II_1 or II_\infty , depending on whether the spectrum of the category is finite or infinite) or they can be of type III_{\lambda}, \lambda \in ( 0,1 ] . The choice of type is tuned by the choice of Tomita structure on certain bimodules we use in the construction. Moreover, we realize the whole tensor structure of the category directly by means of endomorphisms of these algebras, with finite Jones index.  

  间: 20171222日(星期14:30-15:30

  点:数学科学学院三楼专家接待室(数学楼305房间)


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