On fast vanishing ideals and comparison property of central sequences
報告人簡介
符玄龍，同濟大學助理教授，研究領域為泛函分析與算子代數，重點探索C*-代數的分類與軌跡近似性等問題。他在華東師范大學獲得博士學位，并于博士期間赴美國俄勒岡大學進行學術訪問。博士畢業后，他先后在復旦大學、多倫多大學及菲爾茲研究所從事博士后研究。符博士的研究成果卓著，已在Canadian Journal of Mathematics、Journal of the London Mathematical Society等期刊發表多篇論文。他在算子代數的理論研究中取得了諸多創新性進展，尤其是在非交換維數與C*-代數分類的交叉領域。
內容簡介
Let A be a simple separable non-elementary unital stably finite nuclear C*-algebra with strict comparison. One of Kirchberg’s result showed that central sequence algebra of A is non-simple. We show that every two nonzero ideals of the central sequence algebra of A contain a common fast vanishing ideal. As a consequence, we show that the central sequence algebra of A is prime. We also discuss the tracial version of related concepts. This is based on a joint work with I. Farah, F. Perera, H. Thiel, and E. Vilalta.
