Tannaka-Krein duality for compact groupoids III, duality theory

Abstract

In a series of papers, we have shown that from the theory of a compact groupoid one can reconstruct the groupoid using the procedure similar to the Tannaka-Krein duality for compact groups. In this part we introduce the Tannaka groupoid of a compact groupoid and show how to recover the original groupoid from its Tannaka groupoid.

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