Linear Analysis Seminar

Date: September 29, 2017

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Scott LaLonde, University of Texas at Tyler

Title: Fell bundles: Unifying C*-algebras associated to groupoids

Abstract: Fell bundles provide one with an abstract notion of groupoid actions on C*-algebras. As a result, they provide a unifying framework in which to study many of the C*-algebras that are often associated to groupoids, including the groupoid C*-algebra, groupoid crossed products, and twisted versions of both constructions. We will discuss some recent work on Fell bundles, including a powerful stabilization result of Ionescu, Kumjian, Sims, and Williams that relates an arbitrary Fell bundle to a canonical groupoid crossed product. We focus on some consequences of this theorem in the context of nuclearity and exactness for Fell bundle C*-algebras, as well as some connections to exact groupoids and groupoid extensions.