3 papers
math.KT2026
Chern character for torsion-free ample groupoids
Valerio Proietti, Makoto Yamashita
For an ample groupoid with torsion-free stabilizers, we construct a Chern character map going from the domain of the Baum-Connes assembly map of G to the Crainic-Moerdijk homology…
math.KT2025
Homology and K-theory of dynamical systems. IV. Further structural results on groupoid homology
Valerio Proietti, Makoto Yamashita
We consider the homology theory of étale groupoids introduced by Crainic and Moerdijk, with particular interest to groupoids arising from topological dynamical systems. We prove a…
math.KT2025
Homology and K-theory of dynamical systems III. Beyond stably disconnected Smale spaces
Valerio Proietti, Makoto Yamashita
We study homological invariants of étale groupoids arising from Smale spaces, continuing on our previous work, but going beyond the stably disconnected case by incorporating resol…