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

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

Abstract: 
We will continue last week's talk with some basic structural results on Cstar algebras, leading into the GelfandNaimark theorem on abelian Cstar algebras; a particular instance of this will give us the continuous functional calculus, a major tool in the theory. Then we will go into the representation theory of Cstar algebras, ending with the GNS construction, which represents an arbitrary Cstar algebra (faithfully) as an algebra of operators on some Hilbert space. Time permitted, we will talk about Naimark's problem, an old question in representation theory which was partially solved recently (with the use of diamond) by Akemann and Weaver. 