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math.DS2016
A signed version of Putnam's homology theory: Lefschetz and zeta functions
Robin J. Deeley
A signed version of Putnam homology for Smale spaces is introduced. Its definition, basic properties and associated Lefschetz theorem are outlined. In particular, zeta functions as…
math.DS2016★ 14 cited
Wieler solenoids, Cuntz-Pimsner algebras and K-theory
Robin J. Deeley, Magnus Goffeng, Bram Mesland +1
We study irreducible Smale spaces with totally disconnected stable sets and their associated -theoretic invariants. Such Smale spaces arise as Wieler solenoids, and we restrict…
math.OA2016
Nuclear dimension and classification of C*-algebras associated to Smale spaces
Robin J. Deeley, Karen R. Strung
We show that the homoclinic C*-algebras of mixing Smale spaces are classifiable by the Elliott invariant. To obtain this result, we prove that the stable, unstable, and homoclinic…