Yuhei Suzuki: Minimal ambient nuclear C*-algebras
Time: Tue 2016-04-05 14.00 - 15.00
Location: Institut Mittag-Leffler, Auravägen 17, Djursholm
Participating: Yuhei Suzuki, University of Tokyo
A deep theorem of Kirchberg showed that any separable exact C*- algebra admits an ambient nuclear C*-algebra.
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.