Professor Roberto Longo (University of Rome):An analog of the Beurling-Lax theorem and Quantum...
Donnerstag, 10.05.2012 16:30 im Raum M5
"An analog of the Beurling-Lax theorem and Quantum Field Theory"
The classical Beurling-Lax theorem characterizes the Hilbert subspaces of $H^2$ of the upper complex plane that are invariant under positive translations in terms of inner functions.
I will describe an abstract real analog of this theorem by means of real subspaces and representations of $SL(2,\mathbb R)$.
I will discuss how, by this result, one can build up new families of boundary Quantum Field Theory nets of von Neumann algebras.
(Joint work with E. Witten.)