Frederic Pierre Jean Latrémolière

Metric Spectral Geometry of $\mathbb{Z}^d$-Crossed Products beyond Equicontinuity

We construct linearly twisted spectral triples on $C^\ast$-crossed products $\mathfrak{A}\rtimes_\alpha\mathbb{Z}^d$, starting from a spectral triple $(\mathfrak{A},\mathcal{H},D)$ and an action $\alpha$ admitting an adapted weight. The weight compensates for the growth of the base Dirac operator under the dynamics whi...