Analysis Seminar

Boyu Li, University of Waterloo and University of Windsor

"Zappa-Szep product, self-similar action, and equivalent groupoids"

In group theory, Zappa-Szep product is a way of generalizing the semi-direct product by encoding a two-way action between two groups. Similar constructions have appeared in the context of semigroups and self-similar action on graphs. In this talk, I will briefly survey these constructions. The focus is on the self-similar groupoid actions that define a product groupoid, generalizing the notion of the semi-direct product groupoid. This leads to a way of constructing equivalent groupoids from certain symmetric actions, generalizing several symmetric imprimitivity theorems arising from semi-direct products. This is a joint work with Anna Duwenig.

This seminar will be held jointly online and in person:

• Zoom link: https://us02web.zoom.us/j/87274747278?pwd=RG1Bak5lbk1GaHdIL0dtSzlBbjdiUT09
• Room: MC 5501