2022/08/03 by Rachel Chaiser, Maeve Coates-Welsh, Chaiser, Rachel +17 · 1 citation
Computer Science · Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Topological and Geometric Data Analysis #math.KT #math.OA
paper · pdf · doi:10.48550/arxiv.2208.02231
21 pages
arxiv created 2022/08/03 · openalex publication_date 2022/08/03 · arxiv updated 2022/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study invariants associated to Smale spaces obtained from an expanding endomorphism on a (closed connected Riemannian) flat manifold. Specifically, the relevant invariants are the K-theory of the associated C^*-algebras and Putnam's homology theory for Smale spaces. The latter is isomorphic to the groupoid homology of the groupoids used to construct the C^*-algebras.