报告人:吴文明
报告地点:腾讯会议ID: 798443672 密码: 241108
报告时间:2024年11月08日星期五09:00-10:00
邀请人:李春光、安庆楠
报告摘要:
A unital ring is called clean (resp. strongly clean) if every element can be written as the sum of an invertible element and an idempotent (resp. an invertible element and an idempotent that commutes). Prof. T. Y. Lam proposed a question: which von Neumann algebras are clean as rings? In this talk, we will give the answer about Lam’s question and show that all finite von Neumann algebras are clean and all separable infinite factors are clean. We also show that a von Neumann algebra is strongly clean if and only if it is a finite direct sum of finite type I von Neumann algebras.
主讲人简介:
吴文明,重庆师范大学数学学院教授,2006年博士毕业于中国科学院数学与系统科学研究院,2008年清华大学博士后出站,重庆市巴渝学者特聘教授,重庆市学术带头人,电子科技大学兼职博士生导师,重庆市数学会常务理事,美国《数学评论》评论员,美国新罕布什尔大学国家公派访问学者。研究方向:泛函分析、算子代数。主持国家和省部级项目6项,在J. Funct. Anal.,J. Operator Theory, Bull. Lond. Math. Soc.,Sci. China Math.等知名期刊发表论文20余篇。