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CONVERGENCE OF FOURIER TRUNCATIONS

Prelegent(ci)
MARC A. RIEFFEL
Afiliacja
UC Berkeley
Termin
23 listopada 2022 17:15
Informacje na temat wydarzenia
405 IMPAN & ZOOM
Seminarium
North Atlantic Noncommutative Geometry Seminar

We generalize the Fejer-Riesz operator systems defined for the circle group by Connes and van Suijlekom to the setting of compact matrix quantum groups and their ergodic actions on C*-algebras. These truncations form filtrations of the containing C*-algebra. When the truncations and the containing C*-algebra are equipped with suitable quantum metrics, then under suitable conditions the truncations converge to the containing C*-algebra for quantum Gromov-Hausdorff distance.