報告題目：Classification of C*-algebras real rank zero and stable rank one
報 告 人：安慶楠 東北師範大學
報告時間：2024年10月13日 10:30-11:10
報告地點：數學樓第二報告廳
校内聯系人：張遠航 zhangyuanhang@jlu.edu.cn
報告摘要：
We will talk about the Elliott conjecture of real rank zero setting which would briefly involve Total K-theory, Universal Multi-Coefficient Theorem, Bockstein Operations and a new invariant called Total Cuntz semigroup. By considering the the classification of extensions of 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. We point out that such a result reveals the necessity of the orders from the Total K-theory of ideals. Moreover, we will also show that the Coefficient maps from the Total K-theory of ideals are also indispensable, while the Bockstein Operations are automatic. This series of works are jointed with Zhichao Liu.
報告人簡介：
安慶楠，東北師範大學數學與統計學院分析方向講師，主要研究興趣是C*-代數的分類與不變量等相關理論，部分科研成果在Proc. Lond. Math. Soc.、J. Funct. Anal.、J. Operator Theory、Sci. China Math.等期刊發表。2023年度，入選天元東北中心優秀青年學者。
