Quantum spheres as graph C*-algebras: a review
arXiv:2312.16481 · doi:10.1016/j.exmath.2024.125632
Abstract
In this survey, we discuss the description of Vaksman-Soibelman quantum spheres using graph C*-algebras, following the seminal work of Hong and Szymański. 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.
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