Cartan subalgebras and C*-diagonals in C*-algebras (motivated by Cartans in von Neumann algebras) build a bridge between C*-algebras and topological dynamics, which led to striking results regarding the existence of Cartans/C*-diagonals in classifiable C*-algebras. In particular, this connection was used to construct examples of C*-diagonals in the Jiang-Su algebra Z. In this talk, I will give the idea of how to construct a new, tractable C*-diagonal in Z using solely C*-algebraic techniques. This is based on joint work with Wilhelm Winter.
