Quantum spheres as graph C*-algebras: a review
Operator Algebras
2025-02-20 v4 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.2312.16481,
title = {Quantum spheres as graph C*-algebras: a review},
author = {Francesco D'Andrea},
journal= {arXiv preprint arXiv:2312.16481},
year = {2025}
}
Comments
27 pages. v3: this is a shortened version of the original paper. Sections 4 and 5 of the old version will appear separately. v4: minor corrections