Extracting information from nuclear approximations

Wilhelm Winter (University of Muenster)

Tuesday 16th May, 2017 16:15-17:15 Math seminar room


The completely positive approximation property allows us to encode a separable nuclear C*-algebra in terms of inductive systems of finite dimensional ones with completely positive connecting maps. Although all information about the original  C*-algebra is stored in such a system, it is often not easy to extract without additional conditions; such conditions for example give rise to Bratteli diagrams, or nuclear dimension. I will discuss possible ways to read off other information, such as K-theory, the existence of Cartan MASAs, or Rokhlin dimension, from such systems.

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