Date: Tuesday, November 8, 2022
Time: 5:00 – 6:00 p.m.
Location: Herzberg room 4351 (Macphail)
Title: An Example of a Locally Contracting Étale Groupoid
Speaker: Joseph Gondek, (master’s student, supervised by Prof. Charles Starling)
Abstract. Groupoids are algebraic objects that capture properties of groups, group actions, and topological spaces. Today, groupoids see significant utility in the theory of operator algebras: indeed, groupoid C*-algebras give a wide class of useful and concrete C*-algebras. In this talk, we build up the background needed to define a locally contracting étale groupoid, and produce an example of such a groupoid. To do this, we will define a groupoid and review several notions in topology in order to define a topological groupoid. We then define directed graphs, and construct a locally contracting étale groupoid from a particular directed graph.