Quantum spheres are among the most studied examples of compact quantum spaces, described by C*-algebras which are Cuntz-Krieger algebras of a directed graph, as proved by Hong and Szymański in 2002. About five years earlier, in 1997, Sheu proved that the C*-algebra of a quantum sphere is a groupoid C*-algebra. Here we show that the path groupoid of the directed graph of Hong and Szymański is isomorphic to the groupoid discovered by Sheu.
The graph groupoid of a quantum sphere / D'Andrea, Francesco. - (2024).
The graph groupoid of a quantum sphere
Francesco D'Andrea
2024
Abstract
Quantum spheres are among the most studied examples of compact quantum spaces, described by C*-algebras which are Cuntz-Krieger algebras of a directed graph, as proved by Hong and Szymański in 2002. About five years earlier, in 1997, Sheu proved that the C*-algebra of a quantum sphere is a groupoid C*-algebra. Here we show that the path groupoid of the directed graph of Hong and Szymański is isomorphic to the groupoid discovered by Sheu.File in questo prodotto:
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