A 1-cohomology characterization of property (T) in von Neumann algebras (Q1036215)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A 1-cohomology characterization of property (T) in von Neumann algebras |
scientific article |
Statements
A 1-cohomology characterization of property (T) in von Neumann algebras (English)
0 references
12 November 2009
0 references
The paper is devoted to a characterization of property (T) for von Neumann algebras in terms of 1-cohomology. The main result, which is an analogue of the Delorme-Guichardet theorem for groups, asserts that a separable finite factor has property (T) if and only if the 1-cohomology spaces of closable derivations vanish whenever the domain contains a non-\(\Gamma\) set.
0 references
finite von Neumann algebras
0 references
property (T)
0 references
closable derivations
0 references
completely positive semigroups
0 references
