Speaker: Zhuang Niu(University of Wyoming)
Time: Friday, 2025-May-30 10:00am
Location: R1310, SIMIS
Zoom Meeting: 838 524 0106(Passcode: SIMIS)
Abstract: Consider a free and minimal action of Z^d on a compact metrizable space. The corresponding crossed product C*-algebra is simple, unital, amenable, and has stable rank one. However, in general, this C*-algebra does not necessarily absorb the Jiang-Su algebra Z. It turns out that this crossed product C*-algebra is Z-absorbing if, and only if, the topological dynamical system has zero mean dimension. Thus, these two regularity properties, one for C*-algebras and one for dynamical systems, coincide. This is a joint work with George A. Elliott.
About Speaker:
Zhuang Niu is a professor at the University of Wyoming. In 2023, his joint work with Guihua Gong and Huaxin Lin was awarded the ICBS Frontiers of Science Awards. His work has been published in numerous high-impact journals, including J. Reine Angew. Math., Duke Mathematical Journal, and Adv. Math., etc.
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