Journal of Operator Theory

Volume 54, Issue 1, Summer 2005 pp. 119-124.

Von Neumann Modules, Intertwiners, and Self-Duality

Authors: Michael Skeide
Author institution: Universit\`a degli Studi del Molise, Dipartimento S.E.G.e~S., Via de Sanctis, 86100 Campobasso, Italy

Summary: Von Neumann modules are self-dual. We apply the ideas of Muhly, Skeide and Solel of considering von Neumann $\cB$-mod\-ules as intertwiner spaces for representations of $\cB'$ to obtain a new, simple and self-contained proof for self-duality of von Neumann modules. This simplifies also the original approach.

Keywords: $C^*$-modules, self-duality, von Neumann modules, commutants.

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