Seminar series
Date
Thu, 24 Oct 2024
17:00
Location
L3
Speaker
Jenny Pi
Organisation
University of Oxford

Von Neumann algebras which are not matrix algebras, yet still possess a unique trace, form a basic class called II1 factors. The set of asymptotically commuting elements (or, the relative commutant of the algebra within its own ultrapower), dubbed the central sequence algebra, can take many different forms. In this talk, we discuss an elementary class of II1 factors whose central sequence algebra is again a II1 factor. We show that the class of infinitely generic II1 factors possess this property, and ask some related questions about properties of other existentially closed II1 factors. This is based on joint work with Isaac Goldbring, David Jekel, and Srivatsav Kunnawalkam Elayavalli.

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