报告题目：Generalized tracially approximated C*-algebras and some applications

报告人：方小春教授

报告时间：2024年12月3日 15:00-18:00

报告地点：腾讯会议963-934-707，线下：数学与统计学院306

邀请单位：福州大学数学与统计学院

报告摘要：In this talk, we will talk about the notion of generalized tracial approximation，which generalizes both tracial approximation and Phillips's centrally large subalgebras, some hereditary properties under this approximation, and some applications: Especially Let A be an infinite-dimensional simple unital C*-algebra with stable rank one, and let $\alpha$ be an action of a finite group G on A with the weak tracial Rokhlin property. Phillips asked whether the crossed product C*(G,A,\alpha) has stable rank one. We give an affirmative answer to this question under the assumption that A is separable and has strict comparison.

报告人简介：方小春，同济大学数学科学学院教授。1993年复旦大学数学研究所博士毕业，1995年中国科学院数学研究所博士后出站。长期从事C*-代数及其动力系统的结构与分类相关问题研究，在J. Funct. Anal.、 Ergodic Theory Dynam. Systems、Integral Equations Operator Theory等国内外期刊上发表文章100多篇，主持6项国家自然科学基金面上项目和2项国家自然科学基金国际合作项目。

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