W*-rigidity paradigms for embeddings of II1 factors


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February 2, 2021 10:00 am - 11:00 am
via Zoom Video Conferencing

Stefaan Vaes - Katholieke Universiteit Leuven

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 II1factor 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.

Zoom: https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09