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数学学院、所2024年系列学术活动(第003场):安庆楠 讲师 东北师范大学

发表于: 2024-01-05   点击: 

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。