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.