An etale groupoid's invariant measures pair canonically with its zeroth Crainic-Moerdijk homology, yielding a groupoid Elliott invariant shown to match the C*-algebraic Elliott invariant for many integer actions and orbit-breaking constructions.
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A trace pairing and Elliott invariant for groupoid homology
An etale groupoid's invariant measures pair canonically with its zeroth Crainic-Moerdijk homology, yielding a groupoid Elliott invariant shown to match the C*-algebraic Elliott invariant for many integer actions and orbit-breaking constructions.