Diagonals in classifiable C*-algebras

Wilhelm Winter

*(Universitat M¨¹nster)*

14:00-15:00£¬July 31th£¬2024 Tian Jiabing Building 323

__Abstract:__

Cartan and diagonal subalgebras encode underlying dynamical structures of C*-algebras via their associated groupoids.
The existence of Cartan subalgebras in separable, simple, nuclear C*-algebras is closely related to the UCT problem, but even for well-known classifiable ambient C*-algebras, we have only limited knowledge of the range of examples.
A long-term goal is it to explore structural properties of Cartan subalgebras and diagonals of classifiable C*-algebras,and pave the grounds to eventually classifiy suitable classes of such subalgebras.
In this talk I will describe new examples of diagonals of classifiable C*-algebras such as the Cuntz algebra O_2, the CAR algebra, and the Jiang-Su algebra Z.

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