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Friday, March 16, 2018 — 2:30 PM EDT

Dilian Yang, University of Windsor

"Self-similar higher-rank graph C*-algebras"

In this talk, we introduce a notion of self-similar actions of groups on higher-rank graphs, and present some recent results on the C*-algebras naturally associated to such actions. It turns out that those C*-algebras can be realized as the Cuntz-Pimsner algebras of product systems. If the ambient groups are amenable and the self-similar actions are pseudo free, then they are isomorphic to "path-like" groupoid C*-algebras. In this case, we show that they are always nuclear, and characterize when they are simple. Moreover, when they are simple, it is shown that they are either stably finite or purely infinite.

This is joint work with H. Li.

MC 5417

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