Dilation and classification in operator algebra theory

University of Copenhagen, 17-21 October 2022

A dilation of an operator is a way of thinking about it as a corner of an operator, with additional desirable properties, acting on a larger space. This idea can be used force reversibility of irreversible operator algebras and one-sided dynamical systems. Recently, techniques from dilation theory and the structure theory of C*-algebras provided new classification results for operator algebras, which then led to novel insight in symbolic dynamics.

In this workshop / masterclass we wish to gather international experts, collaborators, students and postdocs to deepen such emerging interaction between dilation theory and classification of operator algebras. There will be no fees associated with the workshop / masterclass, but we are regrettably only able to offer financial support for speakers, and to very few additional participants.

The workshop / masterclass will take place in person, and we hope to see as many of you in Copenhagen as possible.

Lecturers/Invited speakers

Mini-course lecturers:

Xin Li (University of Glasgow)
Orr Shalit (Technion - IIT)
Mark Tomforde

Invited research speakers:

Becky Armstrong (WWU Münster)
Chris Bruce (University of Glasgow)
Raphael Clouatre (University of Manitoba)
Boyu Li (University of Waterloo)

Programme

Detailed program here. See here for titles and abstracts of all invited lectures.

Shalit's blog + Survey paper

Venue and transportation

The conference will take place at the Department of Mathematical Sciences, University of Copenhagen. See detailed instructions on how to reach Copenhagen and the conference venue, and see this MAP of the HCØ building, where the conference takes place.

Tickets and passes for public transportation can be bought at the Copenhagen Airport and every train or metro station. You can find the DSB ticket office on your right-hand side as soon as you come out of the arrival area of the airport. DSB has an agreement with 7-Eleven, so many of their shops double as selling points for public transportation.

A journey planner in English is available.

More information on the "find us" webpage.

Accommodation

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. See information about tickets & prices.