Fundamental group of certain property (T) factors
Krishnendu Khan
Abstract: Calculation of fundamental group of type $II_1$ factor is, in general, an extremely hard and central problem in the field of von Neumann algebras. In this direction, a conjecture due to A. Connes states that the fundamental group of the group von Neumann algebra associated to any icc property (T) group is trivial. Up to now there was no single example of property (T) factor satisfying the conjecture. In this talk, I shall provide the first examples of property (T) group factors (arising from group theoretic constructions) with trivial fundamental group. This talk is based on a joint work with Ionut Chifan, Sayan Das and Cyril Houdayer.
functional analysisgroup theoryoperator algebrasquantum algebra
Audience: researchers in the topic
Groups, Operators, and Banach Algebras Webinar
Series comments: This is an online seminar series for early career researchers working in group theory, operator theory/operator algebra, and Banach algebras. To be added to our mailing list and receive links to our meetings please email us at gobaseminar@gmail.com.
Organizers: | Jared White*, Ulrik Enstad, Bence Horvath |
*contact for this listing |