Speaker: Yuhei Suzuki (Chiba Univ.)

Title: Minimal ambient nuclear C^*-algebras

Time/Date: 4:45-6:15, Monday, June 6, 2016,

Room: 118

Abstract: Ambient nuclear C^*-algebras play crucial roles in both von Neumann and C^*-algebras. In this talk, we investigate how an ambient nuclear C^*-algebra of a given C^*-algebra can be "tight". For certain group C^*-algebras, we construct ambient nuclear C^*-algebras with no proper intermediate C^*-algebras. This in particular gives the first examples of minimal ambient nuclear C^*-algebras of non-nuclear C^*-algebras. For this purpose, we study generic Cantor systems.