標題：Dynamical Cuntz semigroups and regularity of C*-dynamical systems
報告時間：2024年11月15日（星期五）10：00-11：00
報告地點：線上騰訊會議（會議ID：917-834-040，會議密碼：241115）
主講人：吳健超
主辦單位：數(shù)學與統(tǒng)計學院
報告內(nèi)容簡介：
Regularity properties of C*-algebras, e.g., Z-stability and strict comparison, have played crucial roles in the Elliott classification program. The equivalences (or at least close relations) between regularity properties of very different natures were predicted by the Toms-Winter conjecture and have been a central topic in the structure theory of simple nuclear C*-algebras in the last 15 years. I will discuss ways to transport these ideas to the setting of C*-dynamical systems. More precisely, I will talk about dynamical Cuntz semigroups, dynamical strict comparison, and the notion of almost elementary C*-dynamical systems, which generalizes Kerr's almost finiteness for topological dynamical systems and can be viewed as a dynamical analogue of Z-stability. This is joint work with Bosa, Perera, and Zacharias.
主講人簡介：
吳健超，復(fù)旦大學上海數(shù)學中心青年研究員，研究領(lǐng)域為非交換幾何和算子代數(shù)，入選國家級青年人才計劃，主持科技部國家重點研發(fā)青年項目，在Geom. Funct. Anal., Adv. Math., Comm. Math. Phys., Trans. Amer. Math. Soc.等知名數(shù)學期刊發(fā)表多篇論文。
