Title: Free entropy dimension and the first L^2-Betti number
Speaker: Dima Shlyakhtenko
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Abstract:
Free entropy dimension and the first L2-Betti number are both numeric invariants of discrete groups; one is defined by using finite matrices to ``approximate’’ the group, while the other is of cohomological nature. Somewhat surprisingly, the two numbers are related. I will describe this connection and talk about some applications to von Neumann algebras.Date: Monday, May 01, 2017