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