4 papers
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…
Bordisms and unbounded -theory
Robin J. Deeley, Magnus Goffeng, Bram Mesland
This monograph studies -theory in its unbounded model. The central object is the -bordism group obtained by imposing the -bordism relation on unbounded -cycles. In…
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 novel…
Synchronizing Dynamical Systems: Shift Spaces and -Theory
Robin J Deeley, Andrew M Stocker
Building on our previous work, we give a thorough presentation of the techniques developed for synchronizing dynamical systems in the special case of synchronizing shift spaces. Fo…