3 papers
math.OA2025
Twisted topological correspondences and Cartan subalgebras
Aaron Kettner
We introduce twisted topological correspondences, which generalize both Katsura's topological correspondences as well as the twisted topological graphs introduced by Li. We show th…
math.OA2025
Cuntz--Pimsner algebras of partial automorphisms twisted by vector bundles II: Nuclear dimension
Aaron Kettner
We show that Cuntz--Pimsner algebras associated to partial automorphisms twisted by vector bundles are classifiable in the sense of the Elliott program whenever the action is minim…
math.OA2025
Cuntz--Pimsner algebras of partial automorphisms twisted by vector bundles I: Fixed point algebra, simplicity and the tracial state space
Aaron Kettner
We associate a -algebra to a partial action of the integers acting on the base space of a vector bundle, using the framework of Cuntz--Pimsner algebras. We investigate the str…