Online: Seminar, Stefaan Vaes (Katholieke Universiteit Leuven), W*-rigidity Paradigms for Embeddings of II₁ Factors


Tuesday, February 2, 2021, 10:00am



Stefaan Vaes

Location: Zoom

Time: Tuesday, February 2, 2021, 10:00 AM (Eastern US), 15:00 (UK/Eire), 16:00 (Central Europe), 23:00 (China)

Title: W*-rigidity Paradigms for Embeddings of II₁ Factors

Abstract: I will report on a recent joint work with Sorin Popa in which we undertake a systematic study of W*-rigidity paradigms for the embedding relation between II₁ factors and their amplifications. We say that a II₁ factor M stably embeds into a II₁ factor N if M may be realized as a subfactor of an amplification of N, not necessarily of finite index. This is a preorder relation and we prove that it is as complicated as it can be: under the appropriate separability assumptions, we concretely realize any partially ordered set inside the preordered class of II₁ factors with embeddability. 

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