Time:  12:00  13:20 
Room: 
PPB 300 (next to Facilities Management Services)

Speaker: 
Paul McKenney CMU 
Title: 
Cstar algebras and set theory III

Abstract: 
In this talk we will go further into the study of representations of Cstar algebras. In particular we will talk about Naimark's problem, which asks whether every Cstar algebra with only one irreducible representation (up to unitary equivalence) is necessarily the algebra of compact operators on some Hilbert space. Although the answer is yes in some special cases (eg, when the Cstar algebra is separable), we will sketch the construction of a counterexample (from Akemann and Weaver, 2004) using diamond. 