Inverse semigroups and Sheu's groupoid for the odd dimensional quantum spheres
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math.OA
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groupoidalgebradimensionalinversequantumsemigroupssheuspheres
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In this paper, we give a different proof of the fact that the $C^{*}$ algebra of the odd dimensional quantum spheres is a groupoid $C*}$ algebra. We use the theory of inverse semigroups to reconstruct the groupoid given by Sheu in [6].
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