Analysis Seminar

Aaron Tikuisis, University of Ottawa

"Classifying embeddings of C*-algebras"

A well-popularized problem in C*-algebra theory is the classification of C*-algebras up to isomorphism. Through an intertwining argument, this is generally achieved through understanding and classifying *-homomorphisms between C*-algebras - a problem that is also natural in its own right. In joint work with J. Carrión, J. Gabe, C. Schafhauser, and S. White, we have classified *-homomorphisms using minimal (and abstract) hypotheses on the domain A and codomain B: A can be any separable exact C*-algebra satisfying the UCT, and B can be any separably Z-stable C*-algebra with compact tracial state space and with strict comparison with respect to traces. I will discuss this result in the context of classification of C*-algebras, and some of the key ideas in our approach.

This seminar will be held jointly online and in person:

• Zoom link: https://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
• Room: MC 5501