Abstract

We obtain a characterization of property (T) for von Neumann algebras in terms of 1-cohomology, similar to the Delorme–Guichardet theorem for groups.

Keywords

finite von Neumann algebras, property (T), closable derivations, completely positive semigroups

Mathematical Subject Classification

Primary: 22D25, 46L10, 46L57

Milestones

Received: 5 January 2006
Revised: 31 October 2008
Accepted: 7 November 2008

Authors