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math.OAAug 25, 2003
22
citations (OpenAlex)
authors
  • Michael Skeide
arXiv abstractPDF
paper

Von Neumann Modules, Intertwiners and Self-Duality

arXiv:math/0308230

Abstract

We apply the ideas of Muhly, Skeide and Solel [MSS03] of considering von Neumann B-modules as intertwiner spaces for representations of B' to obtain a new, simple and self-contained proof for self-duality of von Neumann modules. This simplifies also the approach of [MSS03].

5 pages

Cited by in corpus (12)

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  • The relative tensor product and a minimal fiber product in the setting of C∗-algebras
  • Pure Semigroups of Isometries on Hilbert C*-Modules
  • Three Ways to Representations of B^a(E)
  • Classification of E_0--Semigroups by Product Systems
  • Quantum Markov Semigroups (Product Systems and Subordination)
  • Commutants of von Neumann Correspondences and Duality of Eilenberg-Watts Theorems by Rieffel and by Blecher
  • Bures Distance For Completely Positive Maps
  • Isometric Dilations of Representations of Product Systems via Commutants
  • Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules
  • Invariants for Normal Completely Positive Maps on the Hyperfinite II1​ Factor
  • Generalized Unitaries and the Picard Group
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