ΕΚΔΗΛΩΣΕΙΣ

SEMINAR: FUNCTIONAL ANALYSIS AND OPERATOR ALGEBRAS - W*-RIGIDITY PARADIGMS FOR EMBEDDINGS OF II1 FACTORS

Friday 06 Μαΐου 2022 VIA ZOOM
Seminar: Functional Analysis and Operator Algebras - W*-rigidity paradigms for embeddings of II1 factors

Seminar: Functional Analysis and Operator Algebras

Σεμινάριο: Συναρτησιακή Ανάλυση και Άλγεβρες Τελεστών

(Online via zoom)

Friday, May 6, 2022 at 17:00 Athens time

Speaker: Stefaan Vaes (K.U. Leuven, Belgium)

Title: W*-rigidity paradigms for embeddings of II1 factors

Abstract:I will report on a joint work with Sorin Popa in which we undertake a systematic study on the following question: when can a given II1factor be embedded into another given II1 factor? More generally, we say that a II1factor M stably embeds into a II1factor N if M may be realized as a subfactor of an amplification of N, not necessarily of finite index. We provide families of II1factors that are mutually non stably embeddable, as well as families that are mutually embeddable, yet nonisomorphic. We prove that the preorder relation of stable embeddability is as complicated as it can be since it contains any partially ordered set. We also obtain numerous computations of invariants of II1factors, including descriptions of all stable self embeddings, outer automorphism groups, etc.

Zoom meeting coordinates

upatras-gr.zoom.us/j/99245950296

or

Meeting ID: 992 4595 0296 Passcode: cstaralg

For additional information see the seminar webpage

http://users.uoa.gr/~akatavol/anak2122.html