Cuntz-Pimsner algebras of homeomorphisms twisted by vector bundles

24.11.2025, 14:00 - 15:00 Uhr  –  2.14.0.21
Forschungsseminar: Gruppen und Operatoralgebren

Aaron Kettner (Czech Academy of Sciences)

Abstract:

In this talk, I will show how to construct a C*-correspondence from a
vector bundle together with a (partial) homeomorphism on the bundle's
base space. The associated Cuntz-Pimsner algebras provide a class of
examples that is both tractable and potentially quite large. Under
reasonable assumptions, these algebras are classifiable in the sense
of the Elliott program. If time permits I will sketch some K-theory
calculations, which are work in progress.