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A Generalised Green-Julg Theorem for Proper Groupoids and Banach Algebras

Walther Paravicini,
published 2011-05-04

The Green-Julg theorem states that the equivariant K-theory of B is isomorphic to the K-theory of L1(G,B), for every compact group G and every G-C∗-algebra B. We formulate a generalisation of this result to proper groupoids and Banach algebras. This is a key result in the proof that the Bost assembly map is surjective for proper Banach algebra coefficients.

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