##### Department of Mathematics,

University of California San Diego

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### Math 243 - Functional Analysis Seminar

## Dilian Yang

#### University of Windsor

## Self-similar k-graph C*-algebras

##### Abstract:

A self-similar k-graph is a pair consisting of a discrete group and a k-graph, such that the group acts on the k-graph self-similarly. For such a pair, one can associate it a universal C*-algebra, called the self-similar k-graph C*-algebra. This class of C*-algebras embraces many important and interesting C*-algebras, such as the higher rank graph C*-algebras of Kumjian-Pask, the Katsura algebra, the Nekrashevych algebra, and the Exel-Pardo algebra. In this talk, I will present some results about those C*-algebras, which are based on joint work with Hui Li.

Host: Matthew Wiersma

### March 30, 2021

### 11:00 AM

### Contact mtwiersma@ucsd.edu

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