Operator Theory Seminar
“A Class of II_1 Factors with Unique McDuff Decomposition” by Mr. Peter Spaas, Department of Mathematics, University California San Diego
Abstract: We consider McDuff decompositions of II_1 factors. In particular, we will discuss a structural result for such a decomposition, when the central sequences of the non-McDuff part are captured by a Cartan subalgebra. This will allow us to deduce several new instances where the involved II_1 factor admits a unique McDuff decomposition. We will also comment on some related properties and results for equivalence relations.