II_1 factors with a unique McDuff decomposition

Lundi 7 janvier 14:00-15:00 - Pieter Spaas - UC San Diego

Résumé : 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. We will also comment on some related properties and results for group actions and equivalence relations, in particular resolving a problem posed by Jones and Schmidt in 1985. Altogether these results will allow us to deduce several new instances of II_1 factors admitting a unique McDuff decomposition.

Lieu : Salle 2P8

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