Title: Derivations on Murray-von Neumann algebras

Speaker: Karimbergen Kudaybergenov（V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences) 

Time:  December  7, 9, 14, 16, 21, 23  2022  14:00-15:30

Zoom Meeting ID：858 6332 1599，Password：221206

Link: https://unsw.zoom.us/skype/85863321599

Abstract：In the first part of the course we shall mainly discuss derivations on bounded operator algebras. The main attention will be the three celebrated results: Kaplansky-Singer Theorem; Sakai`s continuity theorem and Kadison-Sakai theorem that all derivations on von Neumann algebras are inner. In second part we move to discuss the description of derivations on unbounded operator algebras, mainly on Murray-von Neumann algebras. At the end we shall consider some open problems.

 Video