A geometric Elliott invariant and noncommutative rigidity of mapping tori

Hang Wang (East China Normal University)

Thursday 3rd October 16:00-17:00 Maths 311B

Abstract

We develop a geometric approach to the Elliott invariant for a free, minimal action of 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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