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Inverse semigroups and Sheu's groupoid for the odd dimensional quantum spheres

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arxiv 1011.6204 v2 pith:OL6P3LQZ submitted 2010-11-29 math.OA

classification math.OA
keywords groupoidalgebradimensionalinversequantumsemigroupssheuspheres
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abstract

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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