Some recent progress in extension theory

Ping Wong Ng

*(University of Louisiana at Lafayette)*

10:30-11:30,April 13,2023 A503

__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 ¡ú M(B) with phi(A)¡ÉB ={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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