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

Mathematics – Operator Algebras

Scientific paper

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An error in the definition of inverse semigroups is corrected

Scientific paper

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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