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L2-rigidity in von Neumann algebras

✍ Scribed by Jesse Peterson


Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
336 KB
Volume
175
Category
Article
ISSN
0020-9910

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We associate to any contraction T (and, more generally, to any operator T of class C \ ) in a von Neumann algebra M an operator kernel K : (T) (|:| <1) which allows us to define various kinds of functional calculis for T. When M is finite, we use this kernel to give a short proof of the Fuglede Kadi