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Abstract
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We obtain a characterization of
property (T) for von Neumann algebras in terms of 1-cohomology, similar to the
Delorme–Guichardet theorem for groups.
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Keywords
finite von Neumann algebras, property (T), closable
derivations, completely positive semigroups
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Mathematical Subject Classification 2000
Primary: 22D25, 46L10, 46L57
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Milestones
Received: 5 January 2006
Revised: 31 October 2008
Accepted: 7 November 2008
Published: 1 November 2009
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