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.

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