"Geometry and Analysis on Groups" Research Seminar

Time: 2015.05.12, 15:00--17:00
Location: Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "On the Birkhoff - von Neumann theorem in type \(\mathrm{II}_1\) setting."
Speaker: Liviu Paunescu (IMAR, Bucharest)
Abstract: The classic Birkhoff-von Neumann theorem states that the set of doubly stochastic matrices is the convex hull of the permutation matrices. In this presentation we study a possible generalisation on this theorem in the type \(\mathrm{II}_1\) setting. Namely, we replace a doubly stochastic matrix with a collection of measure preserving partial isomorphisms, of the unit interval, with similar properties.