Masterclass on

The nuclear dimension of C*-algebras

The University of Copenhagen

November 14 - 18, 2011

This masterclass will introduce the participants to the topic of nuclear dimension of C*-algebras. It is primarily aimed at graduate students and postdocs wishing to approach this new research subject.

On November 10-13 (directly prior to the masterclass) the department hosts a workshop in honor of Kirchberg´s 65th birthday, organized by Ryszard Nest and Mikael Rørdam. People, for whom it is relevant, are encouraged to participate in both events.

The masterclass is held from Monday, November 14 to Friday, November 18, 2011.


  • Nathaniel Brown (Penn State University)
  • Hannes Thiel (University of Copenhagen)
  • Andrew Toms (Purdue University)
  • Wilhelm Winter (University of Münster)


  • Definition and basic properties of nuclear dimension. Analogies with von Neumann algebras and their structure theory.
  • Computations and estimates: the nuclear dimension of sub-homogenous C*-algebras, cross products, Kirchberg algebras.
  • Structural properties of C*-algebras of finite nuclear dimension.
  • Applications to dynamical systems and to the classification program.
  • Winter's Z-stability theorem.

Schedule and Participants:



Here are a few pictures, taken at the lectures of the masterclass: Brown , Toms , Winter , Lecture hall.

Organizer: Leonel Robert and Hannes Thiel (Copenhagen).