Minimal ambient nuclear C*-algebras

Classification of operator algebras: complexity, rigidity, and dynamics

05 April 14:00 - 15:00

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.
Marius Dadarlat
Purdue University
Søren Eilers
University of Copenhagen
Asger Törnquist
University of Copenhagen


Søren Eilers


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