Sequences of operator algebras converging to odd spheres in the quantum Gromov�Hausdorff distance

Bhattacharyya, T and Singla, S (2024) Sequences of operator algebras converging to odd spheres in the quantum Gromov�Hausdorff distance. In: Indian Journal of Pure and Applied Mathematics .

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Abstract

Marc Rieffel had introduced the notion of the quantum Gromov�Hausdorff distance on compact quantum metric spaces and found a sequence of matrix algebras that converges to the space of continuous functions on 2-sphere in this distance. One finds applications of similar approximations in many places in the theoretical physics literature. In this paper, we have defined a compact quantum metric space structure on the sequence of Toeplitz algebras on generalized Bergman spaces and have proved that the sequence converges to the space of continuous functions on odd spheres in the quantum Gromov�Hausdorff distance. © The Indian National Science Academy 2024.

Item Type:	Journal Article
Publication:	Indian Journal of Pure and Applied Mathematics
Publisher:	Indian National Science Academy
Additional Information:	The copyright for this article belongs to Indian National Science Academy.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	21 Dec 2024 07:11
Last Modified:	21 Dec 2024 07:11
URI:	http://eprints.iisc.ac.in/id/eprint/85918

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