von Neumann Algebra Learning SeminarExport this event to calendar

Wednesday, March 2, 2016 — 2:30 PM EST

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

“Kaplansky’s Density Theorem”

Last week we learned that a von Neumann algebra A is a C-algebra acting on a Hilbert space H in such a way that the result is WOT-closed. This week we’ll show that if A is a von Neumann algebra of operators on H, but also acts on some other Hilbert space H, then it’s still WOT-closed as an algebra of operators in B (H). To do this we will use the Kaplansky Density Theorem, which is a fundamental fact in the theory of von Neumann algebras.

MC 5417

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