Faithful representations of ultragraph $C^∗$-algebras

Hui Li  (East China Normal University)

14:00 pm - 15:00 pm, May 13th, 2016   Science Building A1510

Abstract:

In this talk, we present a general Cuntz-Krieger uniqueness theorem for ultragraph $C^∗$-algebras, which is an analogous result of graph algebras due to Szyma'nski. We construct a family of faithful representations of ultragraph $C^∗$-algebras via branching systems of ultragraphs. This is a joint work with Daniel Gon¸calves and Danilo Royer.