Malte Leimbach (MPI Bonn)
Spectral truncations are compressions of spectral triples by spectral projections for the Dirac operator. This formalism was introduced by Connes--van Suijlekom to reflect constraints on the availability of spectral data, and they advocate for considering operator systems rather than C*-algebras in noncommutative geometry. Connecting to the setting of Rieffel's compact quantum metric spaces and Kerr--Li's operator Gromov--Hausdorff distance, it makes sense to ask about convergence of spectral truncations. I will report on recent progress on this question for tori and compact quantum groups.
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