A geometric Elliott invariant

Hang Wang  (East China Normal University)

11:00-12:00，July 31th，2024    Shanghai Institute for Mathematics and Interdisciplinary Sciences

Abstract:

We develop a geometric approach to the Elliott invariant for a free, minimal action of $\mathbb{Z}^d$ on a compact space with finite covering dimension. This approach relies on topological and index-theoretic data from the mapping torus associated with the minimal topological dynamical system. Applications include noncommutative rigidity of mapping tori and the magnetic gap-labelling problem for certain Cantor minimal systems. This work is done in collaboration with Hao Guo and Valerio Proietti.

About the speaker:

Attachments: