L2-rigidity in von Neumann algebras
β 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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## Abstract In this paper, we consider a generalization of property T of Kazhdan for groups and property T of Connes for von Neumann algebras. We introduce another relative property T for groups corresponding to coβrigidity for von Neumann algebras, which is different from relative property T of Ma
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