Jason Bell, Simon Fraser University
"The Dixmier-Moeglin equivalence"
Abstract: The primitive ideals of an algebra form an important subcollection of its prime ideals, and they play a fundamental role in understanding its representations. We shall explain why people are interested in the primitive ideals of an algebra and we will discuss the Dixmier-Moeglin equivalence, which characterizes the primitive ideals in terms of algebraic and topological conditions for many important classes of algebras. We will then give some new results and conjectures about algebras whose primitive ideals satisfy the Dixmier-Moeglin equivalence.
(Refreshments will be served at 2:30pm in MC 5046).