报告题目：A counterexample to Elliott Conjecture of real rank zero setting and classification of extension algebras
报 告 人：安庆楠 讲师 东北师范大学
报告时间：2024年1月5日 16:30-17:30
报告地点：数学楼三楼第五研讨室
校内联系人：张远航 zhangyuanhang@jlu.edu.cn
报告摘要：
We will talk about the Elliott conjecture of real rank zero C*-algebras. We exhibit two unital, separable, nuclear C*-algebras of stable rank one and real rank zero with the same ordered scaled total K-theory satisfying UCT, but they are not isomorphic with each other, which forms a counterexample to Elliott Classification Conjecture for real rank zero setting.
Such a result will modify the original conjecture into two modified versions. We will introduce an additional normal condition and give a classification result in terms of total K-theory. For the general setting, with a new invariant—total Cuntz semigroup, we classify a large class of C*-algebras obtained from extensions. The total Cuntz semigroup, which distinguish the algebras of our counterexample, could possibly classify all the C*-algebras of stable rank one and real rank zero.
报告人简介：
安庆楠，东北师范大学数学与统计学院基础数学学科讲师，主要从事泛函分析方向相关的研究和教学工作，相关科研成果在《Journal of Functional Analysis》、《Journal of Operator Theory》等期刊发表。
