Chennai Mathematical Institute


3.30 p.m.
Invariants for E_0-semigroups on II_1 factors

Oliver Margetts
Lancaster University.


E_0-semigroups are certain semigroups on von Neumann algebras which arise in areas of quantum mechanics and can be used to describe the flow of time in certain quantum systems. In this talk we will investigate their mathematical structure, with the aim of classifying a large class of examples. Already there is a great deal of literature for E_0-semigroups on B(H), but for more general von Neumann algebras the theory is significantly harder and we need to introduce new invariants to accomplish our goal.