Automorphisms of Nuclear $C^*$-algebras

Yasuhiko Sato  (Kyoto University)

10:00 am - 11:00 am, May 9th, 2016   Science Building A1510

Abstract:

In the recent progress of the classification theorem of $C^*$-algebras, we have seen connections with the regularity properties and associated conditions in the theory of injective von Neumann algebras, which is shown by A. Connes and U. Haagerup. In particular, it is known that the proof with Connes' approach is based on his results on automorphisms of injective factors. In this talk, along the recent evolution of Elliott's program, I will revisit classification theorems of automorphisms on nuclear $C^*$-algebras and discuss the connections between them.