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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