Applications of the UCT for C*-algebras

University of Copenhagen 
October 2nd to October 6th, 2017

This masterclass will focus on KK-theory and the Universal Coefficient Theorem, with a special regard towards applications to the structure and classification theory of nuclear C*-algebras. Further topics, such as equivariant extensions of KK-theory for C*-algebras over topological spaces or with group actions, will also be explored.

Lecture series:

  • Marius Dadarlat (Purdue University)
    "A friendly introduction to KK-theory and the UCT"
  • Wilhelm Winter (Westfälische Wilhelms-Universität Münster)
    "Structure and classification of nuclear C*-algebras: The role of the UCT"

Slides & notes:

Update: Notes for all talks of the masterclass are available here.

The participants

The participants, October 2017. Click for large image.


  • Selçuk Barlak
  • Joan Bosa
  • Jorge Castillejos Lopez
  • Søren Eilers
  • Jamie Gabe
  • Elizabeth Gillaspy
  • Hyun Ho Lee
  • Norio Nawata
  • Jean Renault
  • Gábor Szabó
  • Klaus Thomsen


The masterclass will take place at the Department of Mathematical Sciences, University of Copenhagen, with support from the Centre for Symmetry and Deformation. Detailed instructions on how to reach Copenhagen and the conference venue are given here.

Schedule and Abstracts:

Abstracts for all talks are available here. Updated schedule is here.

Financial support:

Participants can apply for financial support to partly cover local expenses. If you wish to apply for support, please indicate this on the registration form. The support should be roughly DKK 500 per day, at most DKK 2500.


Registration closed on July 28th, 2017.

Accommodation and public transportation:

We kindly ask the participants to arrange their own accommodation. We recommend Hotel 9 Små Hjem, which is pleasant and inexpensive and offers rooms with a kitchen. Other inexpensive alternatives are  CabInn, which has several locations in Copenhagen: the Hotel City (close to Tivoli), Hotel Scandivania (Frederiksberg, close to the lakes), and Hotel Express (Frederiksberg) are the most convenient locations; the latter two are 2.5-3 km from the math department. Somewhat more expensive – and still recommended – options are Hotel Nora and  Ibsen's Hotel.

An additional option is to combine a stay at the CabInn Metro Hotel with a pass for Copenhagen (efficient and reliable) public transportation (e.g. FlexCard 7 days with 2 zones, CityPass 24 or 72 hours). 

Tickets and passes for public transportation can be bought at the Copenhagen Airport and at every train or metro station. You can find the DSB office on your right hand side of the arrival area of the airport. Many 7-Eleven shops are selling points for public transportation. A journey planner in english is available. More information on the "find us" webpage.

Organised by Valerio Proietti, Gábor Szabó, and Ryszard Nest .