Prof. Dr. Moritz Weber
Universal C*-algebras and von Neumann algebras
(Winter term 2021/2022)News
There is an MS Teams with no. 133868. Please request the link from Moritz Weber.Lecture
Thursday, 14-16The language of the course is English, by default, unless all participants speak German.
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In this lecture, which is a continuation of the lecture Functional Analysis 2b (Operator algebras), we will focus on examples of universal C*-algebras (such as the Toeplitz algebra, the Cuntz algebra and the irrational rotation algebra) before we give an introduction to von Neumann algebras (bicommutant theorem, factors, type classification etc).
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Script
We will treat Chapters 6 and 7 of the following script:ISem24 Lecture Notes
See also the references below.
Exercises
How to obtain the credit points
In order to obtain the credit points for this course, you must actively take part in the exercise sessionsand pass the oral exams at the end of the term which are the basis for your grade.
References
Books on operator algebras/C*-algebras:- Bruce Blackadar, Operator algebras. Theory of C*-algebras and von Neumann algebras, 2006.
- Kenneth Davidson, C*-algebras by example, 1996.
- Jacques Dixmier, Les C*-algebres et leurs representations, 1969.
- Richard V. Kadison and John R. Ringrose, Fundamentals of the Theory of Operator Algebras.
Volume I-IV, 1997. - Gerard Murphy, C*-algebras and operator theory, 1990.
- Masamichi Takesaki, Theory of Operator Algebras I-III, 2002/2003
- Claire Anantharaman and Sorin Popa, An introduction to II1 factors, preliminary version.
- Script by Vaughan Jones, Berkeley, 2009.
- Lecture Notes Von Neumann algebras and ergodic theory of group actions, IHP 2011.
- Script by Jesse Petersen, Vanderbilt, 2013.
- Script by Sven Raum, Münster, 2015/2016.
- Lecture Notes Von Neumann Algebras, Subfactors, Knots and Braids, and Planar Algebras
by Roland Speicher, Saarbrücken, 2016. - Lecture Notes by Cyril Houdayer, Paris
Updated: 31 August 2021 Moritz Weber
