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math.OA2025
A trace pairing and Elliott invariant for groupoid homology
Robin Deeley, Rufus Willett
For an étale groupoid, we define a pairing between the Crainic-Moerdijk groupoid homology and the simplex of invariant Borel probability measures on the base space. The main novelt…
math.OA2025
Synchronizing Dynamical Systems: Finitely presented systems and Ruelle algebras
Robin J. Deeley, Andrew M. Stocker
The main goals of the present paper are to determine the structure of the -algebras associated to a finitely presented system and to develop the basic theory of the Ruelle…