ROOM TWO: {Cuntz-Pimsner algebras associated to C*-correspondences over commutative C*-algebras}
Speaker:
Maria Stella Adamo, University of Rome "Tor Vergata" (Italy)
Date and Time:
Thursday, May 28, 2020 - 11:30am to 11:50am
Location:
Online
Abstract:
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 $\Gamma(V,\varphi)$ of a complex locally trivial vector bundle $V$ on a compact metric space $X$ twisted by a minimal homeomorphism $\varphi: X\to X$.
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.