Speaker: Jianchao Wu (Fudan University)
Host: Huaxin Lin
Abstract: 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 almost elementary C*-dynamical systems. Almost elementariness generalizes Kerr’s almost finiteness for topological dynamical systems and can be viewed as a dynamical analogue of Z-stability. There are also “in-measure” versions of these that are closely related to the small boundary property, uniform property Γ and approximate tracial oscillation zero. This is joint work with Bosa, Perera, and Zacharias.
Time: 14:30-15:30 pm, Friday, April 11
Location: Room 1410
About the speaker: Jianchao Wu, Young Investigator at the Shanghai Center for Mathematical Sciences at Fudan University, specializes in noncommutative geometry and operator algebras. He has been selected for the National Youth Talent Program and is the principal investigator of a National Key R&D Program for Young Scientists. He is also a recipient (joint with Sherry Gong and Guoliang Yu) of the 2025 Frontiers of Science Awards at the International Congress for Basic Science. He has published multiple papers in well-known mathematical journals such as Geom. Funct. Anal., Adv. Math., Comm. Math. Phys., and Trans. Amer. Math. Soc.
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