Tannaka-Krein duality for compact groupoids III, duality theory

Mathematics – Operator Algebras

Scientific paper

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9 pages

Scientific paper

In a series of papers, we have shown that from the \repn 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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