# Blog Archives

# Topic Archive: Hilbert spaces

CUNY Logic WorkshopFriday, September 20, 20132:00 pm

# A survey of the model theory of tracial von Neumann algebras

University of Illinois Chicago

Von Neumann algebras are certain algebras of bounded operators on Hilbert spaces. In this talk we will survey some of the model theoretic results about (tracial) von Neumann algebras, focusing mainly on (in)stability, quantifier-complexity, and decidability. No prior knowledge of von Neumann algebras will be necessary. Some of the work presented is joint with Ilijas Farah, Bradd Hart, David Sherman, and Thomas Sinclair.