Time:  12:00  13:20 
Room: 
Doherty Hall 4303

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

Abstract: 
This is the first of several talks introducing the field of Cstar algebras to the budding settheorist. The longterm intent of the talks is to provide enough background on operator algebras for the listener to understand some of the recent developments connecting the two subjects. No experience with operator algebra is required; only the standard undergraduate algebra and analysis. Similarly, any concepts in set theory beyond a first course in the subject will be discussed before being used. The first 1+epsilon talks will be entirely on Cstar algebras. I will start with the definitions and fundamental examples (C(X), algebras of operators), and proceed to some of the basic tools of the theory, namely the continuous functional calculus, and the GNS representation. These results should give a rough idea of the structure of Cstar algebras, as well as provide a jumping off point for some of the problems that set theory has some connections to. 