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
ZoomMeeting 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 theoremthat all derivations on von Neumann algebras are inner. In second part we move to discuss the description of derivations on unbounded operatoralgebras, mainly on Murray-von Neumann algebras. At the end we shall consider some open problems.