The PhD defence will be in room 720 - Niels Henrik Abels hus. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.
Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence.
Trial lecture
December 10th, time: 17:00, Abels Utsikt, Niels Henrik Abels hus.
Injective envelopes of C*-algebras
Main research findings
I investigate how C*-algebras arising from monoids can be described by groupoids. Monoids form a very general class of algebraic structures whereas groupoids are more tangible to work with. Relating a groupoid to the monoid is therefore desirable.
Technical difficulties arise when the topology of the groupoid is non-Hausdorff. This means that there are distinct points of the groupoid which are inseparably near; using only the topology it is impossible to keep these points apart. By leveraging the interplay between monoids and groupoids we are nevertheless able to give combinatorial properties on the monoid which guarantee that the topology of the groupoid is not "too bad". Therefore, we are successful in describing the C*-algebras of even quite exotic monoids in terms of groupoids.
Adjudication committee
Professor Astrid an Huef, Victoria University of Wellington
Associate Professor Chris Bruce, Newcastle University
Professor Kris Shaw, University of Oslo
Supervisors
Professor Sergiy Neshveyev, University of Oslo
Professor Nadia S. Larsen, University of Oslo
Chair of defence
Professor Thordis Linda Thorarinsdottir
Host of the session
Professor Kris Shaw, University of Oslo