Cuntz-Pimsner – University of Copenhagen

Master Class on Cuntz-Pimsner Algebras:

Applications and generalizations.

University of Copenhagen

 July  5th-9th, 2010


Topics and purpose:

The Master Class Cuntz-Pimsner Algebras is a part of the "Centre for Symmetry and Deformation " at the University of Copenhagen and the NordForsk research network Operator Algebras and Dynamics.

The Master Class is directed at Ph.d. students and postdocs, and consists of 9 lectures (each of 90 min), held daily during the week, delivered by Takeshi Katsura (Keio University), Nadia Larsen (University of Oslo) and Mark Tomforde (University of Houston).

There will be one session in the morning and then one session after lunch followed by some short talks by the participants, except on Wednesday where we plan to organize a social event in the afternoon and therefore only have a session in the morning.

The main goal of the Master Class would be to explain the theory on Cuntz-Pimsner algebras and try to convince the audience (students and experts) of the interest of this construction and its generalizations.

Firstly, Takeshi will cover his generalization of Cuntz-Pimsner algebras (the basic construction and examples, the ideal structure, Morita quivalence, and K- and KK-theory).

Mark will talk about the connection between graph algebras and Cuntz-Pimsner algebras.

Finally, Nadia will speak about generalizations of Cuntz-Pimsner algebras to product systems over quasi lattice ordered groups.


Program and abstracts of lectures and talks:

Schedule of the Masterclass




 Mark Tomforde: Talk 1

 Mark Tomforde: Talk 2 

 Mark Tomforde: Talk 3 

 Mark Tomforde: Talk 4

 Mark Tomforde: Talk 5

 Mark Tomforde: Talk 6


Please register by filling in the form available HERE.

  Deadline for registrations: June 14th, 2010.

List of Participants

For ph.d. students:

 This course is an international ph.d. course of the University of Copenhagen. So attending ph.d. students will receive 2.5 ECTS. For more information contact Eduard Ortega.



The lectures will be held at the Department of Mathematics at the University of Copenhagen. You can find information for short-term visitors including directions to the mathematics department HERE.



CABINN Scandinavia is an affordable hotel not too far away from the math department. For other alternatives, a list of hotels in Copenhagen is available here.



Participants can apply for support from our local center "Symmetry and Deformation". You can do so by sending an email to Eduard Ortega at no later than Tuesday, June 1, 2010.




Toke Meier Carlsen (NTNU Trondheim) and Eduard Ortega (University of Copenhagen).