Ample groupoids: equivalence, homology, and Matui's HK conjecture
We investigate the homology of ample Hausdorff groupoids. We establish that a number of
notions of equivalence of groupoids appearing in the literature coincide for ample Hausdorff …
notions of equivalence of groupoids appearing in the literature coincide for ample Hausdorff …
Homotopy of product systems and K-theory of Cuntz-Nica-Pimsner algebras
J Fletcher, E Gillaspy, A Sims - arXiv preprint arXiv:1911.00959, 2019 - arxiv.org
We introduce the notion of a homotopy of product systems, and show that the Cuntz-Nica-
Pimsner algebras of homotopic product systems over N^ k have isomorphic K-theory. As an …
Pimsner algebras of homotopic product systems over N^ k have isomorphic K-theory. As an …