I am currently working on C*-hulls of *-algebras. A C*-hull is a C*-algebra together with a family of bijections between its representations and a subclass of the representations of the *-algebra. So, given a C*-hull we can describe some of the unbounded representations of the *-algebra using the representations of the C*-algebra, which are always bounded.

For my master’s thesis I studied linking algebras of compact quantum groups and quantum graphs.

I’m interested in:

  • representation theory, especially induced representations
  • quantum groups and their actions
  • quantum graphs