Some recent progress in the
extension theory of C*-algebras.
报告专家：Professor Ping Wong Ng(University of Louisiana at Lafayette)
报告时间：2024年12月13日（星期五)下午4:00-5:00
报告地点：国家天元西南数学中心516
报告摘要：In groundbreaking work, Brown, Douglas and Fillmore (BDF) classified all essentially normal operators using
Fredholm indices.In the process, they classified all essential extensions of C*-algebras with the form of $0\rightarrow K \rightarrow E \rightarrow C(X) \rightarrow 0$ where K is the C*-algebra of compact operators on a separable infinite dimensional Hilbert space, and X is a compact subset of the plane. We discuss some recent generalizations of this to more general classes of C*-algebra.Among other things, we classify all essential extensions of continuous scale C*-algebras by separable nuclear C*-algebras. This is joint work with J. Gabe and H. Lin.
专家简介：Professor Ng is an expert on Functional Analysis, operator algebras and operator theory. He got a Bachelor’s degree from Simon Fraser University (Vancouver, Canada) in 1995. He obtained a PhD from UCLA in 2000 under Prof. Effros. He is author of 50+ research articles, including articles published in Advances in Mathematics, Journal of Functional Analysis, IMRN, and Transactions of the AMS.
邀请人：Raphael Ponge
