2 papers
math.OA2024
Self-similar groupoid actions on k-graphs, and invariance of K-theory for cocycle homotopies
Alexander Mundey, Aidan Sims
We establish conditions under which an inclusion of finitely aligned left-cancellative small categories induces inclusions of twisted C*-algebras. We also present an example of an…
math.KT2023
Homology and twisted C*-algebras for self-similar actions and Zappa-Szép products
Alexander Mundey, Aidan Sims
We study the categorical homology of Zappa-Szép products of small categories, which include all self-similar actions. We prove that the categorical homology coincides with the homo…