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Collapse in Noncommutative Geometry and Spectral Continuity
Carla Farsi, Frederic Latremoliere
If two compact quantum metric spaces are close in the metric sense, then how similar are they, as noncommutative spaces? In the classical realm of Riemannian geometry, informally,…
Continuity for the spectral propinquity of the Dirac operators associated with an analytic path of Riemannian metrics
Carla Farsi, Frederic Latremoliere
We prove that a polynomial path of Riemannian metrics on a closed spin manifold induces a continuous field in the spectral propinquity of metric spectral triples.
Simplicity of -algebras of non-Hausdorff -multispinal groupoids
C. Farsi, N. S. Larsen, J. Packer +1
We study simplicity of -algebras arising from self-similar groups of -multispinal type, a generalization of the Grigorchuk case whose simplicity was first proved…
Spectral Triples on noncommutative solenoids from the standard spectral triples on quantum tori
Carla Farsi, Frederic Latremoliere, Judith Packer
We address the natural question: as noncommutative solenoids are inductive limits of quantum tori, do the standard spectral triples on quantum tori converge to some spectral triple…