ROOM TWO: {Cuntz-Pimsner algebras associated to C*-correspondences over commutative C*-algebras}
In this talk, structural properties of Cuntz-Pimsner algebras arising by full, minimal, non-periodic, and finitely generated C*-correspondences over commutative C*-algebras will be discussed. A broad class of examples is provided considering the continuous sections Γ(V,φ) of a complex locally trivial vector bundle V on a compact metric space X twisted by a minimal homeomorphism φ:X→X.
In this case, we identify a "large enough" C*-subalgebra that captures the fundamental properties of the containing Cuntz-Pimsner algebra. Lastly, we will examine conditions when these C*-algebras can be classified using the Elliott invariant.
This is joint work in progress with Archey, Forough, Georgescu, Jeong, Strung, Viola.