DSTOA · Descriptive Set Theory and Operator Algebras

We propose an investigation into various classification problems and problems of Set Theoretic nature arising in Operator Algebras. The particular focus of the project is on the classification problem of group-measure space factors arising from an ergodic a.e. free action of a non-amenable group, on the classification problem of ITPFI factors, and on the classification of the consistent possibilities of the structure of automorphisms of the Calkin algebra.