报告题目：Sylvester rank functions on crossed products

报告人：蒋报捷（Baojie Jiang）博士

报告时间：2019年12月7日  9：00-10：00

报告地点：数学院报告厅B304

报告摘要：见附件。

报告人简介：蒋报捷博士，2014年毕业于南开大学陈省身数学研究所，获理学硕士学位；2018年毕业于复旦大学数学院，获理学博士；现为重庆大学数学与统计学院博士后。研究方向：算子代数、粗几何、Roe代数等方向。

              Baojie Jiang, College of Mathematics and Statistics, Chongqing University e-Mail: jiangbaojie@gmail.com

Abstract

       Let A be a unital C∗-algebra and let τ be any tracial state on A. Set rkτ(B) = limk→∞τ(|B|1/k) for every B ∈ Matn,m(A). Then rkτ is a Sylvester rank function defined on rectangular matrices over A. Let G be a discrete amenable group which admits a trace preserving action α on (A,τ). Denote by Cc(G,A), the group ring of G with coefficients in A. In this talk, we’ll give two natural Sylvester rank functions on Cc(G,A) and prove that they are equal. This is a joint.