Seminar at SMU Delhi

Let P \subset \mathbb{R}^{d} be a closed convex cone which we assume to be spanning and pointed i.e. P-P=R^{d} and P \cap -P=\{0\}. By an E_0 semigroup over P on the algebra of bounded operators on a Hilbert space, we mean a semigroup of normal unital *-endomorphisms of B(H) indexed by P. We show how to construct an E_0-semigroup, called CCR flows, from an isometric representation of P. I will mention a result which classifies CCR flows arising out of certain isometric representations of P.

This is joint work with Anbu Arjunan of CMI.