Title: Derivations with values into ideals of a semifinite von Neumann algebra
Speaker: Jinghao Huang(The University of New South Wales)
Time: 15:30-16:30, December 24
Location: Room 201, Ming De Building
Abstract: The derivation problem introduced by Barry Johnson is one of the classical problems in operator algebra theory. In this talk, I will give an overview of the previous results and outline my work (with Ber, Levitina, Sukochev) which characterizes the ideals of M such that every derivation from a von Neumann subalgebra of M into these ideals is inner. In particular, our result unifies and extends the results by Johnson, Parrott and Popa, and, by Kaftal and Weiss.