11.30 a.m. - 12.30 p.m., Seminar Hall
Canonical Anti-commutation Relations
Chennai Mathematical Institute.
Let H_1 and H_2 be two seperable Hilbert spaces. Let (a_1,a_2,.....) and (b_1,b_2 .......) be sequences of bounded operators on H_1 and H_2 satisfying the CAR relations. Denote the C* algebra generated by a_1,a_2,...by A and the C* algebra generated by b_1,b_2,.... by B. Then there exists a unique *-algebra isomorphism say \pi:A \to B such that \pi(a_i)=b_i for every i.