Seminar on von Neumann algebras
This seminar will take place every monday afternoon from 15:30 until 17:00 10:30 until 12:00 in room 610.
We will follow this book by Vaughan Jones.
Program:
• 14 Feb: Egbert. Notes
Definitions of von Neumann algebras. Topologies on B(H).
• 21 Feb: Edwin.
Definition and classification of type I factors, and maps between them.
• 28 Feb: Daniel.
Projections in type II factors.
• Starting from this week, we meet from 10:30 to 12:00, again in room 610, except for March 7th (BBL226) and 21st (BBL017).
• 7 Maart: Bram.
Kaplanski density theorem. More over topologies.
• 14 Maart: Egbert.
Normality and complete additivity.
• 21 Maart: Sander. Notes
The predual.
• 28 Maart: Edwin.
The group-measure space construction
• 4 April: Thomas.
von Neumann algebras in quantum field theory.
• 11 April: Daniel.
The standard form; the coupling constant.
• 18 April: Sander. Notes
Subfactors, the basic constuction.
• 25 April: paasmaandag
• 2 Mei: Bram.
Tomita Takesaki theory.
• 9 Mei: Edwin
The central decomposition into factors.
• 16 Mei: Gijs.
The L2 space. Connes fusion.
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