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Quantum spheres as graph C*-algebras: a review

Published 27 Dec 2023 in math.OA and math.QA | (2312.16481v4)

Abstract: In this survey, we discuss the description of Vaksman-Soibelman quantum spheres using graph C*-algebras, following the seminal work of Hong and Szyma\'nski. We give a slightly different proof of the isomorphism with a graph C*-algebra, borrowing the idea of Mikkelsen and Kaad of using conditional expectations to prove the desired result.

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