Vol. 243, No. 1, 2009

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A 1-cohomology characterization of property (T) in von Neumann algebras

Jesse Peterson

Vol. 243 (2009), No. 1, 181–199
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 2000
Primary: 22D25, 46L10, 46L57
Milestones
Received: 5 January 2006
Revised: 31 October 2008
Accepted: 7 November 2008
Published: 1 November 2009
Authors
Jesse Peterson
Vanderbilt University
Mathematics Department
1326 Stevenson Center
Nashville, TN 37240
United States