Geodesic
Inverse Semigroups and Sheu's Groupoid for Odd Dimensional Quantum Spheres
Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 630-639

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In this paper, we give a different proof of the fact that the odd dimensional quantum spheres are groupoid ${{C}^{*}}$ -algebras. We show that the ${{C}^{*}}$ -algebra $C\left( S_{q}^{2\ell +1} \right)$ is generated by an inverse semigroup $T$ of partial isometries. We show that the groupoid ${{\mathcal{G}}_{tight}}$ associated with the inverse semigroup $T$ by Exel is exactly the same as the groupoid considered by Sheu.
DOI : 10.4153/CMB-2011-191-x
Mots-clés : 46L99, 20M18, inverse semigroups, groupoids, odd dimensional quantum spheres 
Sundar, S. Inverse Semigroups and Sheu's Groupoid for Odd Dimensional Quantum Spheres. Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 630-639. doi: 10.4153/CMB-2011-191-x
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