主题：On a new class of non selfadjoint algebras

数学中心学术报告

On a new class of non selfadjoint algebras
       

袁巍(中国科学院数学所)

地点：重庆大学数学与统计学院422会议室

时间：2011年9月28日下午2:00~4:00
        
Abstract:

In 1960, Kadison and Singer initiated the study of non selfadjoint algebras of bounded operators on Hilbert spaces. They introduce and study “triangular algebras," subalgebras of C*-algebra whose diagonal is maximal abelian selfadjoint.

Recently, motivated by their work, we propose a generalization of the concept of “triangular algebras," and introduce a new class of non selfadjoint algebras. These algebras combine triangularity and von Neumann algebra properties in their structure.

In this talk, I will present some results on this new class of non self-adjoint algebras. The talk will begin with a gentle introduction to the theory of finite von-Neumann algebras, concentrating on the concept of the hyperfinite II1 factor. Then we will construct and study “maximal triangular algebras" with hyperfinite factors as their diagonals. If time permitted, we may discuss some facts concerning the “double triangle operator algebras."

报告人简介：

袁巍: 中国科技大学学士, 中国科学院数学所博士; 2008年11月他被破格入选中国科学院数学与系统科学研究院“陈景润之星”人才计划。