MaPhySto
The Danish National Research Foundation:
Network in Mathematical Physics and Stochastics

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Funded by The Danish National Research Foundation

Operator Algebra Seminar

Abstract
The formalism of W^*-algebras provides a natural language to express one of the deepest ideas in physics, which says that generic infinitely extended systems at a given temperature should return to their equilibrium state. I will describe a class of systems where this can be proven rigorously. The subject involves various techniques coming from operator algebras (the standard form of a W^*-algebra, KMS states, Araki-Woods representations of CCR) as well as an analysis of a certain concrete operator, the so-called Liouvillean (using the positive commutator techniques and 2nd order perturbation theory---the Fermi Golden Rule).

Contact person:Uffe Haagerup.