Analysis seminar

Zhuang Niu, Memorial University

"A classification of approximately subhomogeneous C*-algebras"

I’m going to talk about a classification theorem on approximately subhomogeneous (ASH) C*-algebras, which is obtained recently in a joint work with Guihua Gong and Huaxin Lin. The C*-algebras covered by this classification theorem are those with their tensor products with an UHF-algebra are tracially approximated by the so-called Elliott-Thomsen building blocks. An important aspect of this class of C*-algebras is that it exhausts all possible values of the invariant for stably finite unital simple C*-algebras in the case of tensorially absorbing the Jiang-Su algebra.