discipline |
Pure Mathematics |
subject |
C*-algebras |
lecturers |
János
Kristóf |
credits |
2 |
period |
3 |
curriculum |
Representations and positive functionals of
*-algebras, GNS-construction, abstract Gelfand-Raikov theorem, abstract
Choquet theorem, second theorem of Gelfand-Raikov, faithful representations
of Banach *-algebras, Baer C*-algebras and projection lattices, projection
valued measures, integration with respect to projection valued measures,
infraspectral and spectral C*-algebras, ultraspectral C*-algebras, spectral
theorem and measurable functional calculus for ultraspectral C*-algebras |
literature |
N. Bourbaki: Théories spectrales J. Dixmier: Les C*-algébres et leurs representations |
form of tuition |
Lectures |
mode of assessment |
oral exam |