Spectral truncations and operator systems in noncommutative geometry

23.01.2026, 10:15  –  Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis

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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