Some recent progress in extension theory

Ping Wong Ng  (University of Louisiana at Lafayette)

11:00-12:00，August 2，2024    Tian Jiabing Building 323

Abstract:

We discuss some recent advances in the extension theory of C*-algebras. Among other things, all essential extensions of the form 0-> B -> E -> A ->0 where B is a nonunital separable simple continuous scale C*-algebra, and A is a separable nuclear C*-algebra, are now completely classified. We also here mention a version of the Voiculescu noncommutative Weyl-von Neumann theorem, for unital *-monomorphisms phi : A \rightarrow M(B) with phi(A) \cap B = \{0 \}, where A is a separable nuclear C*-algebra in a large class, and B is a nonunital separable simple continuous scale C*-algebra with tracial rank zero.

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