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math.OA2026
Extensions of Operator Systems, Hyperrigidity and Quantum Double Suspension
Vibhor Bhatt, Satyajit Guin, Palash Sharma
We introduce a class of extensions of unital operator systems satisfying a certain Toeplitz type property and show that these extensions induce corresponding extensions of the $C^*…
math.OA2026
Gromov-Hausdorff Convergence of Spectral Truncations for Noncommutative Tori
Vibhor Bhatt, Satyajit Guin, Palash Sharma
We prove the Gromov-Hausdorff convergence of the state spaces, equipped with Connes' distance function, of the operator systems associated with spectral truncations for noncommutat…
math.OA2026
Quantum Gromov-Hausdorff Convergence for Extensions of -Algebras
Vibhor Bhatt, Satyajit Guin, Bipul Saurabh
We investigate the lifting of quantum Gromov-Hausdorff convergence through Toeplitz type -algebra extensions by stable ideals in the framework of noncommutative metric geometr…