Back to search

FRINATEK-Fri prosj.st. mat.,naturv.,tek

Operator algebras

Awarded: NOK 10.2 mill.

The operator algebra group is a national network with members from the University of Oslo (UiO), Oslo University College (HiO) and the Norwegian University of Science and Technology (NTNU). The present project aims at conducting research in leading are as of operator algebras, strengthening and expanding the groups large international contacts, renewing the bonds between Trondheim and the two branches of the network in Oslo, and educating young scientists to continue the work. Several principal dir ections of research will be pursued during the project. A number of members will concentrate on dynamical systems and crossed products reflecting the interaction between operator algebras and actions of groups. Other members will concentrate on C*-algeb ras of Cuntz-Pimsner type which model more general actions. Work on quantum groups will be conducted in particular to obtain an algebraic index theorem for quantum Dirac operators on compact quantum groups, then viewed as noncommutative manifolds in th e framework of noncommutative geometry. In another direction operator algebraic techniques will be used to shed light on problems in number theory. There are also topics of interest across the border between operator algebras and quantum physics. Emph asis will be placed on education of Ph.D. students through coordinated intense lectures and a specialized summer school. Joint research seminars will take place with participants both from Oslo and Trondheim. An international conference will be organiz ed as part of a wider range activity. New collaborations between network members in Oslo and Trondheim are now incipient and will be materialized during the project. Existing fruitful collaborations will be maintained and will be expanded.

Funding scheme:

FRINATEK-Fri prosj.st. mat.,naturv.,tek