Understanding C∗ -algebras by inducing symmetries

The mathematical theory of C*-algebras traces its origins all the way back to the development of quantum mechanics, yet the problem of decomposing C*-algebras into simpler parts still remains open. The goal of this project is to solve this problem for a large class of C*-algebras arising from groupoids, by developing new ideas for inducing information from symmetries in the underlying groupoid to its C*-algebra. The grant will allow for the recruitment of a PhD student and two postdocs.