【Short Course】Derivations on Murray-von Neumann algebras

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



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